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Adding and Subtracting fractions (with different DENOMINATORS)

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Adding and Subtracting fractions (with different DENOMINATORS)

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45/8 =

32/10 =

24/9 =

See picture below.

You go:

How many 4's in 11?   2
How many left over?   3
Therefore it's 2 3/4

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4 2/9 as an improper fraction =

5 3/12 as an improper fraction =

8 5/8 as an improper fraction =

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1/3 of 27 =

2/5 of 25 =

3/8 of 40 =

5/12 of 36 =

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2/5 x 6/8

3/15 x 4/9

5/20 x 12/48

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Try the following:

Easier

1/10 =

2/100 =

30/100 =

4/8 =

12/36 =

Harder ones:

1/8 =

5/6 =

3/9 =

10/45 =

4/15 =

7/48 = (HARD)

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Which is bigger?

6/9 or 3/18

4/20 or 3/5

6/10 or 4/5

Explain in detail whether the following are correct or incorrect.

4/5 > 2/8

9/12 < 20/36

2/5 < 3/15

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OPTION 1 - use pictures

OPTION 2 - can you give them both the same denominator.

For example - which is better 1/3 or 4/6.

Make both fractions have the same denominator. Remember, whatever you do to the top, you must do to the bottom.

So 1/3  - double the bottom (denominator) and then double the top (numerator) and you're left with 2/6. So clearly, 2/6 is smaller than 4/6

Hint: The closer the numerator and denominator the larger the fraction (E.G. 9/10). The further apart the numerator and denominator the smaller the fraction (E.G 33/87)

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QUESTIONS - ADDING AND SUBTRACTING FRACTIONS

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QUESTIONS - ADDING AND SUBTRACTING FRACTIONS

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3/8 + 1/8 =

1/5 + 4/5 =

8/12 - 3/12 =

15/20 - 5/20 =

Remember to SIMPLIFY your answers

CHALLENGE! (hint: make the denominators the same)

4/12 + 3/6 =

9/10 + 4/5 =

12/36 + 4/9 =

15/25 + 4/5 =

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Subtracting fractions with like denominators | Fractions | Pre-Algebra | Khan Academy

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Adding fractions with like denominators | Fractions | Pre-Algebra | Khan Academy

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Converting fractions to decimals | Decimals | Pre-Algebra | Khan Academy

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TRY THESE QUESTIONS - EQUIVALENT FRACTIONS

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TRY THESE QUESTIONS - EQUIVALENT FRACTIONS

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Provide equivalent fractions for the following:
Hints: make the fractions bigger or smaller. Simplifying fractions can give you an equivalent fraction.

1/2

5/15

12/48

28/49

1/3

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Equivalent fractions | Fractions | Pre-Algebra | Khan Academy

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(2) Adding and Subtracting fractions (with the same DENOMINATOR)

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(2) Adding and Subtracting fractions (with the same DENOMINATOR)