Subtraction of Mixed Numbers with Renaming

Carla's sister is 4 1/3 feet tall and her brother is 2 2/3 feet tall. How much taller is her sister than her brother?

• 1 1/6 feet

• 2 1/3 feet

• 2 1/6 feet

• 1 2/3 feet

Nicole ran 13 6/7 miles and walked 2 4/7 miles. How much farther did she run than walk?

• 15 2/7 miles

• 10 10/7 miles

• 11 1/7 miles

• None of the above

Subtract 2 2/3 from 4 1/3.

• 2 1/3

• 3 2/3

• 5 1/3

• 1 2/3

Answer explanation

To subtract 2 2/3 from 4 1/3, we subtract the whole numbers and then subtract the fractions. The correct answer is 1 2/3.

Subtract 4 3/8 from 6 1/2 after renaming both mixed numbers.

• 3 1/2

• 5 3/4

• 2 5/8

• 1 7/8

Answer explanation

To subtract 4 3/8 from 6 1/2, rename both mixed numbers. The correct choice is 2 5/8.

If you have 8 3/4 cookies and you eat 3 2/3 cookies, how many cookies do you have left?

• 5 1/12 cookies

• 6 5/12 cookies

• 11 3/4 cookies

• 2 1/3 cookies

Answer explanation

If you have 8 3/4 cookies and eat 3 2/3 cookies, you subtract the eaten amount from the total. Therefore, you have 5 1/12 cookies left.

Subtract 9 2/5 from 12 3/4 after renaming both mixed numbers.

• 7 2/3

• 9 4/5

• 3 11/20

• 5 1/4

Answer explanation

To subtract 9 2/5 from 12 3/4, rename both mixed numbers. The correct choice is 3 11/20.

What is the result of subtracting 3 1/2 from 5 3/4?

• 3 1/4

• 2 1/4

• 4 1/2

• 1 3/4

Answer explanation

To subtract 3 1/2 from 5 3/4, we subtract the whole numbers and then subtract the fractions. The correct answer is 2 1/4, as 5 - 3 = 2 and 3/4 - 1/2 = 1/4.

Before subtracting 7 2/5 from 9 3/4, what is the equivalent of 9 3/4 as an improper fraction?

• 15/2

• 21/4

• 12/3

• 39/4

Answer explanation

To find the equivalent of 9 3/4 as an improper fraction, multiply the whole number (9) by the denominator (4) and add the numerator (3). The result is 39/4, which is the correct choice.

What is the difference between 6 3/4 and 3 1/2 after converting both mixed numbers to improper fractions?

• 3 1/4

• 4 1/4

• 9 1/4

• 2 3/4

Answer explanation

The difference between 6 3/4 and 3 1/2 after converting both mixed numbers to improper fractions is 3 1/4. This is the correct choice.

Which expression matches the picture?