Fractions!

Adding Fractions

100

5/13 + 3/13

8/13

200

1/3 + 1/6

=2/6 + 1/6 = 3/6 = 1/2

300

1/2 + 1/6

3/6 + 1/6 = 4/6 = 2/3

400

4 2/5 + 10/6

22/5 + 10/6 = 132/30 + 50/30 = 182/30 = 6 2/30 = 6 1/15

500

2 3/6 + 5 2/3

8 1/6

Subtracting Fractions

100

7/2 - 6/2

1/2

200

3/4 – 4/8

6/8 - 4/8 = 2/8 = 1/4

300

7/8 - 1/2

7/8 - 4/8 = 3/8

400

7/8 - 2/5

35/40 - 16/40 = 19/40

500

4/3 – 3/4

= 16/12 – 9/12

= 7/12

Compare & Order Fractions

100

Simplify 64/84.

16/21

200

Order the following fractions from BIGGEST to SMALLEST:

1/2, 1/7, 1/5, 1/10

1/2, 1/5, 1/7, 1/10

300

What is the lowest common denominator between 3/4 and 1/12?

12

400

Use  >,<, or = to compare the following: 

3 1/2 [ ] 21/4

<

500

Simplify 56/120

28/60 = 14/30 = 7 /15

Multiplying Fractions

100

3/5 x 4/9

=12/45

200

4/3 x 5/3

=20/9 = 2 2/9

300

1 1/2 x 3 3/5

=3/2 x 18/5 = 54/10 = 27/5 = 5 2/5

400

2 2/3 x 3 2/5

=8/3 x 17/5 = 136 / 15 = 9 1/15

500

A recipe to serve 9 people requires 4 2/3 cups of flour. How much flour is needed for 6 people?

= 6 x 4 2/3 = 6 x 14/3 = 84/3 = 28 cups of flour

Dividing Fractions

100

3/5 ÷ 4

= 3/5 x 1/4 = 3/20

200

5/6 ÷ 1/3

= 5/6 x 3/1 = 15/6 = 2 3/6 = 2 1/2

300

14/3 ÷ 2/5

=14/3 x 5/2 = 70/6 = 11 4/6 = 11 2/3

400

2 2/3 ÷ 3 2/5

= 8/3 ÷ 17/5 = 8/3 x 5/17 = 40/51 

500

You have 3 1/3 cups of flour to divide into equal batches for four recipes. How much flour is that per batch?

= 3 1/3 ÷ 4 = 10/3 x 1/4 = 10/12 = 5/6 cups of flour per batch