Fractions Review

Finding GCF and LCM

100

Find the LCM of 30 and 5. 

5: 5, 10, 15, 20, 25, 30, 35 ...

30: 30, 60, 90 ...

LCM is 30.

200

Find the GCF of 15 and 24. 

15: 1x15, 3x5

24: 1x24, 2x24, 3x8, 4x6

GCF is 3.

300

Find the LCM of 60 and 4.

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60 …

60: 60, 120, 180 …

The LCM is 60.

400

Find the GCF of 32 and 8.

8: 1x8, 2x4

32: 1x32, 2x16, 4x8

GCF is 8.

500

Find the GCF of 25 and 100.

25: 1x25, 5x5

100: 1x100, 2x50, 4x25, 5x20

The GCF is 25.

Converting Fractions

100

Convert the following fraction to a mixed number:

9/4

 

2 1/4

200

Convert the following to an improper fraction:

4 5/6

29/6

300

Convert the following to a mixed number:

27/5

5 2/5

400

Convert the following to an improper fraction:

3 5/7

26/7

500

Convert the following to a mixed number:

62/10

6 2/10  OR  6 1/5

Simplifying Fractions

100

Simplify the following fraction:

2/10

2: 1x2

10: 1x10, 2x5

1/5

200

Simplify the following fraction:

6/24

6: 1x6, 2x3

24: 1x24, 2x12, 3x8, 4x6

1/4

300

Simplify the following fraction:

9/45

9: 1x9

45: 1x45, 3x15, 5x9

1/5

400

Simplify the following fraction:

25/100

25: 1x25, 5x5

100: 1x100, 2x50, 4x25, 5x20

1/4

500

Simplify the following fraction:

5/36

5: 1x5

36: 1x36, 2x18, 3x12, 4x9

5/36

Adding and Subtracting Fractions

100

1/3 + 1/4 

3: 3, 6, 9, 12, 15, 18...

4: 4, 8, 12, 16, 20...

4/12 + 3/12

7/12

200

8/9 - 5/9

3/9  OR   1/3

300

1/4 + 1/5

4: 4, 8, 12, 16, 20, 24, 28...

5: 5, 10, 15, 20, 25...

5/20 + 4/20

9/20

400

1/2 - 3/7

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20...

7: 7, 14, 21...

7/14 - 6/14

1/14

500

7/9 - 2/3

9: 9, 18, 27...

3: 3, 6, 9, 12...

7/9 - 6/9

1/9

Multiplying Fractions

100

1/2 x 3/4

3/8

200

3/4 x 1/5

3/20

300

1/3 x 3/5

3/15 --> 1/5

3: 1x3

15: 1x15, 3x5

400

4/3 x 3/1

12/3 --> 4

500

4/3 x 2/1 

8/3 --> 2 2/3