Comparing and Multiplying Fractions

Why is it not always easy to tell which fraction is bigger?

• Because it depends on the color of the fractions

• Because the value of a fraction depends only on the top number

• Because the value of a fraction depends on both the top and bottom numbers

• Because all fractions are the same size

Answer explanation

The value of a fraction depends on both the top and bottom numbers, making it not always easy to tell which fraction is bigger.

What is the first method mentioned for comparing fractions?

• Dividing fractions

• Cross-multiplying

• Subtracting fractions

• Adding fractions

Answer explanation

The first method mentioned for comparing fractions is cross-multiplying, not dividing, subtracting, or adding fractions.

What is cross multiplying?

• Multiplying the top number of each fraction by the bottom number of the other fraction

• Adding the top and bottom numbers of each fraction

• Multiplying the bottom number of each fraction by the bottom number of the other fraction

• Multiplying the top number of each fraction by the top number of the other fraction

Answer explanation

Cross multiplying involves multiplying the top number of each fraction by the bottom number of the other fraction.

Which fraction is greater: 7/8 (7 over 8 ) or 4/5 (4 over 5) ?

• It cannot be determined

• Both are equal

• 4 over 5

• 7 over 8

Answer explanation

To compare fractions, find a common denominator. In this case, the common denominator is 40. 7/8 = 35/40 and 4/5 = 32/40. Therefore, 7/8 is greater than 4/5.

Which is greater: 5/12 of a pizza or 7/15 of a pizza?

• Both are the same

• It depends on the type of pizza

• 7/15 of a pizza

• 5/12 of a pizza

Answer explanation

7/15 of a pizza is greater than 5/12 of a pizza because 7/15 is equivalent to 0.4667 while 5/12 is equivalent to 0.4167.

What do you do if two fractions have the same bottom numbers?

• Multiply the bottom numbers

• Ignore the fractions

• Add the fractions

• Compare the top numbers

Answer explanation

When two fractions have the same bottom numbers, you should compare the top numbers to determine which fraction is larger or smaller.

3/4 * 3/8

• 6/32

• 6/12

• 9/12

• 9/32

Hunter finished 3/8 of his homework before supper.  Macy finished 2/3 of her homework before supper.  Which statement correctly compares the fractions?

• 3/8 < 2/3

• 3/8 > 2/3

• 3/8 =  2/3

• 2/3 < 3/8

Compare the fractions.  Use scratch paper to show your work. Choose the correct sign.
3/8 _ 1/4

• <

• =

• >

3/6 ___ 8/12

• >

• <

• =