Simplify the Fraction
Measures & Fractions
X, +, -
Convert the Fraction
Rules
100

18/30

3/5

100

1/5 min = ___ sec.

12 sec.

100

6 1/2 + 3 2/3

10 1/6

100

17/8

2 1/8

100

What do we look for when we want to see if fractions can be simplified before multiplying (cancellation process)?

GCF (Greatest Common Factor)

200

15/21

5/7

200

1/8 pt = ___ fl. oz.

2 fl. oz.

200

32 11/12 - 17 3/4

15 1/6

200

20/15

1 1/3

200

If a fraction of a larger measure is converted to a smaller measure, the conversion step is what?

Multiply.


Example: 2/3 yd = 2 ft

300

18/27

2/3

300

3 qt. = ___ gal.

3/4 gal.

300

5/9 x 3/10

1/6


300
32/5

6 2/5

300

What are the steps to multiplying fractions and mixed numbers?

Example: 4 1/5 x 1/3

1. Change the mixed number to an improper fraction.
2. Check for cancellation.
3. Multiply.


400

6/30

1/5

400

1/4 pk = ___ qt

2 qt.

400
4/7 x 10 1/2

6

400

44/6

7 1/3

400

If the smaller measure is only a part of the larger measure, the conversion is what?

division

Example: 1 ft = 1/3 yd

500

2/18

1/9
500

3/4 mi = ___ ft

3960 ft.

500

2 1/7 x 1 1/20

2 1/4

500

125/11

11 4/11

500

How do you change a mixed number to an improper fraction?

Multiply the whole number with the denominator, then add with the numerator. That number goes over the same denominator used in the problem.