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By the end of this lesson, students will understand the concept of fractions as part of a whole.

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Students will learn how to add and subtract fractions with like and unlike denominators.

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Students will be able to apply their knowledge of fractions in solving real-life problems.

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Provide printable fraction strips for hands-on learning and comparison of fraction sizes.

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Contents: Our free printable fraction strips are designed to make it easy to teach children fractions and fraction equalities. These printables are available in color and black and white. I recommend you print them on colored cardstock paper and laminate for durability.

Free Printable Fraction Charts

This set of printable fraction strips includes the following sizes:

1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 1/11 1/12 1/16

Making a Whole: Children can try their hand at filling the Whole strip using different sized fraction bars. Have them write down their final results as an equation.

You can print these sheets and have students cut them out to visually identify the equivalent fractions as they go.

For example; 1/9 + 1/9 + 1/9 + 1/3 + 1/3 = 1

Alternatively, print a set of colored fraction strips and cut them out. Then have students match them up using the black and white sheet as a matching board. You might even have students glue their work down as they go.

Learning about Equivalent Fractions: Use this set of printable fraction bars to guide children with their understanding of equivalent fractions.
Skill Building Links:

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Free printable fraction strips, or fraction bars for your math learning centers. Make your own math manipulatives with our free printable fraction sheets. Print in color or black and white.

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For demonstrating problems and solutions in front of the class.

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Use an online fraction calculator for checking answers.

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Calculator Use

Use this fraction calculator for adding, subtracting, multiplying and dividing fractions. Answers are fractions in lowest terms or mixed numbers in reduced form.

Input proper or improper fractions, select the math sign and click Calculate. This is a fraction calculator with steps shown in the solution.

If you have negative fractions insert a minus sign before the numerator. So if one of your fractions is -6/7, insert -6 in the numerator and 7 in the denominator.

Sometimes math problems include the word "of," as in What is 1/3 of 3/8? Of means you should multiply so you need to solve 1/3 × 3/8.

To do math with mixed numbers (whole numbers and fractions) use the Mixed Numbers Calculator.

Math on Fractions with Unlike Denominators

There are 2 cases where you need to know if your fractions have different denominators:

if you are adding fractions

if you are subtracting fractions

How to Add or Subtract Fractions

1. Find the least common denominator

2. You can use the LCD Calculator to find the least common denominator for a set of fractions

3. For your first fraction, find what number you need to multiply the denominator by to result in the least common denominator

4. Multiply the numerator and denominator of your first fraction by that number

5. Repeat Steps 3 and 4 for each fraction

6. For addition equations, add the fraction numerators

7. For subtraction equations, subtract the fraction numerators

8. Convert improper fractions to mixed numbers

9. Reduce the fraction to lowest terms

How to Multiply Fractions

1. Multiply all numerators together

2. Multiply all denominators together

3. Reduce the result to lowest terms

How to Divide Fractions

1. Rewrite the equation as in "Keep, Change, Flip"

2. Keep the first fraction

3. Change the division sign to multiplication

4. Flip the second fraction by switching the top and bottom numbers

5. Multiply all numerators together

6. Multiply all denominators together

7. Reduce the result to lowest terms

Fraction Formulas

There is a way to add or subtract fractions without finding the least common denominator (LCD). This method involves cross multiplication of the fractions. See the formulas below.

You may find that it is easier to use these formulas than to do the math to find the least common denominator.

The formulas for multiplying and dividing fractions follow the same process as described above.

Adding Fractions

The formula for adding fractions is:

\( \dfrac{a}{b} + \dfrac{c}{d} = \dfrac{ad + bc}{bd} \)

Example steps:

\( \dfrac{2}{6} + \dfrac{1}{4} = \dfrac{(2\times4) + (6\times1)}{6\times4} \)

\( = \dfrac{14}{24} = \dfrac {7}{12} \)

Subtracting Fractions

The formula for subtracting fractions is:

\( \dfrac{a}{b} - \dfrac{c}{d} = \dfrac{ad - bc}{bd} \)

Example steps:

\( \dfrac{2}{6} - \dfrac{1}{4} = \dfrac{(2\times4) - (6\times1)}{6\times4} \)

\( = \dfrac{2}{24} = \dfrac {1}{12} \)

Multiplying Fractions

The formula for multiplying fractions is:

\( \dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd} \)

Example steps:

\( \dfrac{2}{6} \times \dfrac{1}{4} = \dfrac{2\times1}{6\times4} \)

\( = \dfrac{2}{24} = \dfrac {1}{12} \)

Dividing Fractions

The formula for dividing fractions is:

\( \dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{ad}{bc} \)

Example steps:

\( \dfrac{2}{6} \div \dfrac{1}{4} = \dfrac{2\times4}{6\times1} \)

\( = \dfrac{8}{6} = \dfrac {4}{3} = 1 \dfrac{1}{3} \)

Related Calculators

To perform math operations on mixed number fractions use our Mixed Numbers Calculator. This calculator can also simplify improper fractions into mixed numbers and shows the work involved.

If you want to simplify an individual fraction into lowest terms use our Simplify Fractions Calculator.

For an explanation of how to factor numbers to find the greatest common factor (GCF) see the Greatest Common Factor Calculator.

If you are simplifying large fractions by hand you can use the Long Division with Remainders Calculator to find whole number and remainder values.

Notes

Last updated: March 18, 2019

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Use this fraction calculator to add, subtract, multiply and divide fractions. Shows the work and the steps to do math with fractions. Reduces fractions to lowest terms.

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Start with a brief overview of what fractions are and where we see them in our daily lives.

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Students work in groups using fraction strips to compare fractions. Utilize Padlet for groups to present their findings.

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Teach the method for adding fractions that have the same denominator through examples and practice exercises.

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Subtracting Fractions with Unlike Denominators

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Subtracting Fractions with Unlike Denominators

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Illustrate the process of finding a common denominator and then subtracting fractions.

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Conduct an interactive quiz on addition and subtraction of fractions using an online platform.

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Students will add and subtract fractions with like denominators in this fractions basics quiz. Learners will solve eight fraction addition and eight fraction subtraction problems, simplifying as needed. Designed for fourth graders, this worksheet is a useful way to assess learners' ability to add, subtract, and simplify fractions with like denominators. This simple, versatile printable can also be used for practice or review.

Grade

Subject

View aligned standards

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Adding and Subtracting Fractions Quiz | Worksheet | Education.com

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Students will add and subtract fractions with like denominators in this two-part quiz.

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Assess student understanding through completion of a worksheet on addition and subtraction of fractions.

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Use an online platform for a quiz on fractions to assess individual student understanding.

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If your kid is feeling behind or left out in math class, give him a piece of the pie using Turtle Diary's online fraction practice. Your little one will be dividing up whole numbers in no time using our interactive learning tools. We offer a wealth of quizzes for kids in math aimed at getting your child excited about education. To help your kid stay ahead in class, click below to start the fraction quiz.

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If your kid is feeling behind or left out in math class, give him a piece of the pie using Turtle Diary's online fraction practice. Your little one will be dividing up whole numbers in no time using our interactive learning tools.

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Conclude the lesson by reviewing all major concepts of addition and subtraction of fractions.

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Engage the class in a reflective discussion on the day’s lesson and what was learned.

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Assign practice problems on addition and subtraction of fractions for homework.

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Students to research how fractions are used in real-life and present their findings on Padlet.