Multiplying Fractions 1

Greatest Common Factor

The greatest common factor of two or more numbers is the greatest factor shared by all of the numbers.

Find the product. Simplify. 4/5 of 30 a. 24 b. 10 c. 34/5 d. 1/24

a. 24

Find the product. Simplify. 1/3 of 3 a. 1/18 b. 1/3 c. 1 d. 1/9

c. 1

Estimate each product. 5/8 x 11/12 a. 0 b. 1/4 c. 1/2 d. 1

c. 1/2

Find the product. Simplify. 1/10 x 2/7 a. 35 b. 20/7 c. 1/35 d. 7/20

c. 1/35

Find 2/3 • 5/3. Simplify if possible. a. 7/3 b. 6/15 c. 10/9 d. 10/3

c. 10/9

Suppose you have 32 muffins. How many muffins are left after you give a friend 1/2 of them? a. 28 muffins b. 8 muffins c. 16 muffins d. 64 muffins

c. 16 muffins

2/7 of 63 a. 1/18 b. 65/7 c. 18 d. 11

c. 18

Find the product. Simplify. 7/9 of 27 a. 1/21 b. 10 c. 21 d. 34/9

c. 21

Find the product. Simplify. 2/5 of 15. a. 5 b. 17/5 c. 6 d. 1/6

c. 6

Find 3 1/3 • 1 1/14. Simplify if possible. a. 98/45 b. 2 1/42 c. 3 2/17 d. 2 1/2

d. 2 1/2

Evaluate 4/5 for x = 5/6 a. 3/2 b. 25/24 c. 24/25 d. 2/3

d. 2/3

You are making scarves for presents. Each scarf needs 3/4 yd of fabric. how many yards of fabric do you need for 6 scarves? a. 9 1/3 yd b. 5 1/4 yd c. 8 yd d. 4 1/2 yd

d. 4 1/2 yd

Estimate each product. 1/5 x 26 a. 6 b. 4 c. 0 d. 5

d. 5

To find the product of two fractions:

1. Multiply the numerators 2. Multiply the denominators 3. Simplify

How do you multiply fractions?

1/2 x 9/1 1)First if you have a whole number put a one over it. 1/2 x 9/1 = 9/2 2) Then you multiply. 4 1/2 3)Then you simplify or change the improper to mixed number if it is or you have to.

Using a pencil and paper, draw a model to find the product 1/4 x 1/2.

1/8

Multiplying Fractions by Whole Numbers

To multiply a fraction by a whole number, write the whole number as an improper fraction with a denominator of 1. Then multiply the two fractions.

d. 3/5 • 1/2 = 3/10

What multiplication equation is modeled below? a. 1/5 • 3/2 = 3/10 b. 1/15 • 3/6 = 3/90 c. 3/10 • 1/10 = 3/100 d. 3/5 • 1/2 = 3/10

a. 1/3 x 2/5

What product is represented by the model above? a. 1/3 x 2/5 b. 3/5 x 1/3 c. 5/6 x 2/3 d. 5/6 x 3/5

Evaluate 8x for x = 7/8. a. 7 b. 9 1/7 c. 1/7 d. 7/64

a. 7

You buy clothing at a sale. You buy sneakers at 2/3 of their original price of $60, a sweater at 7/10 of it's original price of $35, and a jacket at 5/6 of its original price of $45. Answer each question and show all your work. a. How much money did you spend? b. How much money did you save? c. What fraction of the total of the original prices did you save?

a.) 2/3 x 60 = 40 7/10 x 35 = 24.50 5/6 x 45 = 37.50 40 + 24.50 + 37.50 = 102; You spent $102 b.) 60 + 35 + 45 = 140; the total of the original price is $140. 140 - 102 = 38; you save $38 c. 38/140 = 19/70; you saved 19/70 of the original price total.

Find the product. Simplify. 1/6 x 3/8 a. 16 b. 1/16 c. 9/4 d. 4/9

b. 1/16

Betty had 1/3 yard of ribbon. She used 1/2 of it. how many yards of ribbon did she use? a. 6 yd b. 1/6 yd c. 2/3 yd d. 3/2 yd

b. 1/6 yd

What is 8/7 • 5/4? Simplify if possible. a. 13/11 b. 10/7 c. 20/7 d. 32/35

b. 10/7

Evaluate 7x for x = 5/6. a. 8 2/5 b. 5 5/6 c. 6/35 d. 5/42

b. 5 5/6

Find the product. Simplify. 1/7 x 8/9 a. 9/56 b. 56/9 c. 8/63 d. 63/8

c. 8/63

Find the product. Simplify. 1/5 x 7/9 a. 35/9 b. 9/35 c. 45/7 d. 7/45

d. 7/45