Fractions Review

Recognizing & Creating Equivalent Fractions

100

 Write two fractions equivalent to 1/2.

2/4 and 4/8

*There are many others.

200

Draw a model or explain why 2/4 is equivalent to 1/2.

If you cut both halves in half, you will have 2/4.

300

 Fill in the blank to make an equivalent fraction: 3/8 = ?/16.

6

400

 Write three equivalent fractions for 2/3 by multiplying numerator and denominator by whole numbers 2, 3, and 4.

4/6

6/9

8/12

500

Explain why multiplying numerator and denominator by the same nonzero number always gives an equivalent fraction. Use an example.

Multiplying by the same number 'cuts' each piece equally. This means you have more pieces, but all the pieces stay the same size and no extra shading has happened.

Comparing Fractions

100

Which is greater: 1/4 or 1/3?

1/3

200

Compare: 3/8 ___ 1/2.

3/8 < 1/2

3/8 is less than 1/2

300

 Use common denominators to compare: 5/6 ___ 4/5.

5/6 (x5/5) = 25/30

4/5 (x6/6) = 24/30

25/30 > 24/30

25/30 is greater than 24/30

400

Compare: 7/12 and 2/3 using a number line or equivalent fractions.

2/3 (x4/4) = 8/12

*replace 2/3 with 8/12

7/12 < 8/12

7/12 is less than 8/12

500

 Two fractions are 5/9 and 7/12. Decide which is larger.

5/9 (x4/4) = 20/36

7/12 (x3/3) = 21/36

*Replace 5/9 and 7/12.

20/36 < 21/36

5/9 < 7/12

Benchmark Fractions (use 0, 1/2, 1)

100

 Is 1/3 closer to 0, 1/2, or 1?

0

200

 Which is nearer to 1/2: 4/9 or 5/12?

4/9

300

Place these in order 0, 1/2, 1: 3/8, 5/6.

0 ~ 3/8 ~ 1/2 ~ 5/6 ~ 1

400

Use benchmark 1/2 to compare: 9/20 and 11/24.

11/24

*Did you use the butterfly?

500

Which is greater? 13/20 or 7/12

13/20

Add/Subtract with Like Denominators

100

1/6 + 2/6.

3/6

*Equivalent to 1/2

200

 5/8 − 2/8

3/8

*Less than 1/2

300

 3/4 + 1/4

4/4

*Equal to 1

400

 A recipe needs 7/12 cup of sugar and you add another 3/12 cup. How much sugar do you have now?

10/12

*Equivalent to 5/6. Greater than 1/2.

500

Sam walked 3/8 mile, then another 4/8 mile. How far did Sam walk in total? If Sam's friend walked 1/2 mile, who walked farther and by how much?

7/8

Sam walked farther by 3/8 mile.

Compose & Decompose Fractions

100

Decompose 3/5 into a sum of two fractions with denominator 5.

1/5 + 2/5

200

 Make 1 whole using fractions with denominator 6 (use at least two fractions).

2/6 + 3/6 + 1/6

300

Decompose 1 1/3 into a sum of fractions with denominator 3.

1/3 + 2/3 + 1/3

400

Decompose 7/8 into three fractions with denominator 8.

3/8 + 3/8 + 1/8

500

Mia has 5/6 of a yard of ribbon. She wants to cut it into pieces of 2/6 yard and some left over. How much will be left over? Show your answer in an equation.

2/6 + 2/6

1/6 left over