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Relaciona i compara la representació gràfica i decimal de les fraccions

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Sort the fractions in order from smallest to largest.

This is Fraction Lines level 1. You can also try:
Level 2 Level 3 Level 4 Level 5 Level 6 Level 7

© Transum Mathematics 1997-2023
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=44

Description of Levels

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Level 1 - Fractions represented as pie charts

Level 2 - Tenths represented as a grid of squares

Level 3 - Decimal fractions some with hundredths

Level 4 - Twelfths represented as a grid of squares

Level 5 - Vulgar fractions simplified twelfths

Level 6 - Mixed fraction pictures

Level 7 - Mixed fractions and decimals

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

Example

Order these fractions from smallest to largest

$$ \frac{3}{4} , \frac{7}{8} , \frac{1}{2} , \frac{1}{4} , \frac{3}{8} $$

Method 1: Write each of the fractions with a common denominator. The lowest common multiple of the five denominators is 8 so the five fractions become:

$$ \frac{6}{8} , \frac{7}{8} , \frac{4}{8} , \frac{2}{8} , \frac{3}{8} $$

It is now easy to order the fractions in order of their denominators:

$$ \frac{2}{8} , \frac{3}{8} , \frac{4}{8} , \frac{6}{8} , \frac{7}{8} $$

Now write each of these fractions in the way they were written in the question:

$$ \bbox[yellow,5px,border:2px solid red]{ \frac{1}{4} ,\quad \frac{3}{8} ,\quad \frac{1}{2} ,\quad \frac{3}{4} ,\quad \frac{7}{8} }$$

Method 2: Convert each of the fractions to decimals (to three decimal places for this example) by dividing the numerators by the denominators:

$$ \require{enclose} \begin{array}{r} 0.750 \\[-3pt] 4 \enclose{longdiv}{3.000} \\[-3pt] \end{array} , \require{enclose} \begin{array}{r} 0.875 \\[-3pt] 8 \enclose{longdiv}{7.000} \\[-3pt] \end{array} , \require{enclose} \begin{array}{r} 0.500 \\[-3pt] 2 \enclose{longdiv}{1.000} \\[-3pt] \end{array} , \require{enclose} \begin{array}{r} 0.250 \\[-3pt] 4 \enclose{longdiv}{1.000} \\[-3pt] \end{array} , \require{enclose} \begin{array}{r} 0.375 \\[-3pt] 8 \enclose{longdiv}{3.000} \\[-3pt] \end{array} $$

The decimal equivalents can more easily be ordered then writen in the way they were written in the question to give the same answer as method 1.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Close

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Sort the fractions in order from smallest to largest.

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5 Nivells per ordenar de més gran a més petit

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Arrange the numbers on the snake in order from the largest on the head to the smallest at the tail.

Largest

This is Fraction Order level 3. You can also try

Recently Updated

Coloured Cube 3D

Colour in the remaining faces of the nets of the cubes to match the rotating three-dimensional picture. So far this activity has been accessed 12 times and 2 Transum Trophies have been awarded for completing it.

Fraction Order

A Fraction Sorting Challenge

This activity provides practice ordering vulgar and decimal fractions. Drag the fractions onto the snake so that the smallest fraction is at the tail and the largest is at the head.

There are 4 levels for this activity and for each one you can earn a Transum Trophy.

Fractions can be compared by considering the meaning of the numerator and denominator values. A Fraction Wall may help. Alternatively the fractions could be converted to decimals for easier sorting with the help of the Decimals Line. A spreadsheet could also be used to help manage the conversion and sorting.

There are many more fraction activities on our Fraction Topic page.

The solutions to this and other Transum puzzles, exercises and activities are available here when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher or parent you can apply for one here.

A Transum subscription also gives you access to the 'Class Admin' student management system and opens up ad-free access to the Transum website for you and your pupils.

Video

This video is from MathsWatch

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Arrange the numbers on the snake in order from the largest on the head to the smallest at the tail. Largest This is Fraction Order level 3. You can also try Recently Updated Coloured Cube 3D Colour in the remaining faces of the nets of the cubes to match the rotating three-dimensional picture.

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En aquest joc has d'escollir la fracció més gran (LARGER) o la més (PETITA), segons et demanin. 5 Nivells!

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Compare pairs of fractions to identify the largest or smallest in order to move through the maze. Earn a trophy for finding the right door.

© Transum Mathematics 1997-2023
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=863

Description of Levels

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Level 1 - Compare simple proper fractions with a half

Level 2 - Compare proper fractions where one denominator is a multiple of the other

Level 3 - Compare proper fractions with different denominators (one denominator is not a multiple of the other)

Level 4 - Compare fractions with large numerators and denominators by simplifying the fractions first.

Level 5 - Mixed questions

Fraction Lines - Sort a number of fractions (and decimals and percentages) in a line.

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

Help Video

You may also find a Fraction Wall useful.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Close

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Compare pairs of fractions to identify the largest or smallest in order to move through the maze. Earn a trophy for finding the right door.

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Als dos primers nivells hauràs de pintar les fraccions equivalents que et demanin. Als següents nivells es posarà més difícil. (5 nivells)

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Help Video

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Close

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Practise finding equivalent fractions numerically and in fraction diagrams.

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Troba la parella que representa cada fracció (1 nivell)

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Find the matching pairs of cards. A drag and drop self marking activity.

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Et donen una fracció, i has de trobar la representació gràfica. (1 nivell)

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Find the matching card. A multiple choice self marking activity.

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Al primer nivell hauràs de pintar tu les fraccions que et demanin. Intenta pintar-les de manera original! Als següents nivells hauràs de trobar tu les fraccions pintades. Difícil! (3 nivells)

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For each rectangle click on two green dots to draw a line between them. The line must dissect the rectangle to produce the fraction indicated below the rectangle. Your solution to questions 1 and 2 must be different.

© Transum Mathematics 1997-2023
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=698

Description of Levels

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Level 1 - Draw lines to dissect the rectangles to make the given fractions.

Level 2 - Recognise the harder fractions from the disected rectangle diagrams.

Level 3 - Recognise or calculate fractions of circles.

Equivalent Fractions Practise finding equivalent fractions numerically and in fraction diagrams.

Fraction Pairs The traditional pairs or Pelmanism game adapted to test knowledge of equivalent fractions.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Example

This video is from the wonderful CorbettMaths.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Close

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For each rectangle click on two green dots to draw a line between them. The line must dissect the rectangle to produce the fraction indicated below the rectangle. Your solution to questions 1 and 2 must be different. © Transum Mathematics 1997-2023 Scan the QR code below to visit the online version of this activity.

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Trobaràs diferents nivells per sumar i restar fraccions. Aquells nivells que no siguin de sumar i restar no els facis. Quan facis les operacions còpia-les a la llibreta

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A series of self-marking exercises on adding, subtracting, multiplying and dividing fractions.

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TROBA LA FRACCIÓ EQUIVALENT AMB ELS NÚMEROS QUE ET DONEN (DIFÍCIL)

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TROBA LA FRACCIÓ EQUIVALENT AMB ELS NÚMEROS QUE ET DONEN (DIFÍCIL)

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Hauràs de trobar una fracció equivalent amb els números que et donen... sort! Copia les respostes a la llibreta

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Arrange the given digits to make an equivalent fraction

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Tens 10 nivells diferents!

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Calculate the missing fractions in these partly completed arithmagon puzzles.

Complete the fractionagons so that the fractions in the rectangles are the sums of the fractions at the vertices of the triangles. Use the forward slash / to type a fraction. Give answers in their lowest terms.

© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=890

Description of Levels

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Arithmagons - The same sort of puzzle but with numbers not algebra.

Level 1 - Sums of simple fractions

Level 2 - Sums of fractions where one denominator is not a multiple of the other.

Level 3 - Sums of mixed numbers.

Level 4 - Multiplication of fractions.

Level 5 - Multiplication of mixed numbers.

Algebragons - Different topic, same structure.

More Fractions including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Fractions Video

Mathematical Notation

Use the forward slash / to type a fraction then the right arrow or tab key to end the fraction.

For example: Type 1/2 to get ½.

Fractions should be given in their lowest terms.

All answers are positive.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Here are some suggestions for how you may solve the puzzles in which only the three values in the rectangles are given (the last question in levels three and above):

For novice learners

1. Guess a value for the top circle

2. From that calculate the values that would be in the bottom two circles

3. Do these two values sum to the bottom rectangle? If so finish.

4. If not is their sum too high or too low? Adjust the top circle value accordingly and go back to (2)

Replace 'sum' with 'product' if the operation is multiplication.

For advanced learners

1. Let x stand for the top circle value

2. From that find expressions for the bottom two circles

3. Make an equation from the bottom two circles and the bottom rectangle

4. Solve that equation.

A great 'trick'

This was found by Ann Roberts, a Transum subscriber, who wrote with this method of solving an arithmagon with 18, 15 and 11 in the rectangles. It also works for fractions.

1. Add the numbers in the rectangles: 18 + 15 + 11 = 44. This is the same as adding the numbers in the blank circles twice.

2. Divide this sum by two: 44 ÷ 2 = 22. This is now the same as adding the numbers in the blank circles once.

3. Finally: 15 is the sum of the bottom white circles so 15 + top white circle = 22

Typing Mathematical Notation

These exercises use MathQuill, a web formula editor designed to make typing Maths easy and beautiful. Watch the animation below to see how common mathematical notation can be created using your keyboard.

Close

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Calculate the missing fractions in these partly completed arithmagon puzzles. Complete the fractionagons so that the fractions in the rectangles are the sums of the fractions at the vertices of the triangles. Use the forward slash / to type a fraction.

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Ficha interactiva de Fraccions para 6è. Puedes hacer los ejercicios online o descargar la ficha como pdf.

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Ejercicio interactivo de Problemes de fraccions

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Actividad online de Fraccions para 4t. Puedes hacer los ejercicios online o descargar la ficha como pdf.

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Exemples d'operacions combinades amb fraccions

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Create a new document and edit with others at the same time -- from your computer, phone or tablet. Get stuff done with or without an internet connection. Use Docs to edit Word files. Free from Google.

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Liveworksheets transforms your traditional printable worksheets into self-correcting interactive exercises that the students can do online and send to the teacher.

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Comparación de fracciones worksheet for Tercero de Primaria

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Liveworksheets transforms your traditional printable worksheets into self-correcting interactive exercises that the students can do online and send to the teacher.

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Fracciones online activity for 3º-4º de primaria

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Liveworksheets transforms your traditional printable worksheets into self-correcting interactive exercises that the students can do online and send to the teacher.

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Fracciones propias e impropias worksheet

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Liveworksheets transforms your traditional printable worksheets into self-correcting interactive exercises that the students can do online and send to the teacher.

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Ejercicio de unir con flechas para practicar las fracciones, su representación y su lectura. Para niños y niñas de 3º o 4º de primaria.

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Problemas con fracciones online exercise for primaria

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Liveworksheets transforms your traditional printable worksheets into self-correcting interactive exercises that the students can do online and send to the teacher.

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Ficha interactiva de Problemas con fracciones

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Ficha interactiva de Fracciones para Quinto de Primaria. Puedes hacer los ejercicios online o descargar la ficha como pdf.

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comparar fracciones de igual numerador y denominador

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Ejercicio de Comparar fracciones de igual numerador y denominador

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Ficha online de Fracciones para Tercero de primaria, Cuarto de primaria. Puedes hacer los ejercicios online o descargar la ficha como pdf.

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Ficha online de Fracciones para 3º- 4º de Primaria. Puedes hacer los ejercicios online o descargar la ficha como pdf.

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Ejercicio interactivo de Suma y resta Fracciones

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Actividad online de Fracciones para Quinto y sexto de Primaria. Puedes hacer los ejercicios online o descargar la ficha como pdf.

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Problemas resueltos de calcular porcentajes

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Problemas resueltos de calcular porcentajes. Problemas explicados. Aplicamos una regla de tres. Tanto por ciento. Matemáticas.

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Create a new document and edit with others at the same time -- from your computer, phone or tablet. Get stuff done with or without an internet connection. Use Docs to edit Word files. Free from Google.