Mixed Numbers and Improper Fractions Worksheet

Question 1

Write the improper fraction for the mixed number 2 1/3.

Accepted Answer

The improper fraction for 2 1/3 is 7/3. Two wholes equal 6/3, and 6/3 + 1/3 = 7/3.

Question 2

Write the mixed number for the improper fraction 9/4.

Accepted Answer

The mixed number for 9/4 is 2 1/4. Four goes into nine two times with one left over.

Question 3

Change 3 2/5 into an improper fraction.

Accepted Answer

The improper fraction for 3 2/5 is 17/5. Three wholes equal 15/5, and 15/5 + 2/5 = 17/5.

Question 4

Change 11/6 into a mixed number.

Accepted Answer

The mixed number for 11/6 is 1 5/6. Six goes into eleven one time with five left over.

Question 5

Write the improper fraction for 4 3/8.

Accepted Answer

The improper fraction for 4 3/8 is 35/8. Four wholes equal 32/8, and 32/8 + 3/8 = 35/8.

Question 6

Write the mixed number for 13/5.

Accepted Answer

The mixed number for 13/5 is 2 3/5. Five goes into thirteen two times with three left over.

Question 7

Which is greater: 7/3 or 2 1/4?

Accepted Answer

The fraction 7/3 is greater. It equals 2 1/3, and 2 1/3 is greater than 2 1/4.

Question 8

Draw or imagine fraction bars. Is 8/8 a mixed number, an improper fraction, or both?

Accepted Answer

The fraction 8/8 is an improper fraction because the numerator is equal to the denominator. It is equal to 1 whole.

Question 9

Change 5 4/7 into an improper fraction.

Accepted Answer

The improper fraction for 5 4/7 is 39/7. Five wholes equal 35/7, and 35/7 + 4/7 = 39/7.

Question 10

Change 17/4 into a mixed number.

Accepted Answer

The mixed number for 17/4 is 4 1/4. Four goes into seventeen four times with one left over.

Question 11

A baker used 2 1/2 cups of flour. Write this amount as an improper fraction.

Accepted Answer

The improper fraction for 2 1/2 is 5/2. Two wholes equal 4/2, and 4/2 + 1/2 = 5/2.

Question 12

Lena ran 15/6 miles. Write this distance as a mixed number.

Accepted Answer

The mixed number for 15/6 is 2 3/6, which is also 2 1/2 when simplified. Six goes into fifteen two times with three left over.

Question 13

Explain how to change a mixed number into an improper fraction.

Accepted Answer

To change a mixed number into an improper fraction, multiply the whole number by the denominator and add the numerator. Then write that sum over the same denominator.

Question 14

Explain how to change an improper fraction into a mixed number.

Accepted Answer

To change an improper fraction into a mixed number, divide the numerator by the denominator. The quotient is the whole number, the remainder is the new numerator, and the denominator stays the same.

Question 15

Write a mixed number that is equal to 14/3.

Accepted Answer

A mixed number equal to 14/3 is 4 2/3. Three goes into fourteen four times with two left over.

Mixed Numbers and Improper Fractions

Mixed Numbers and Improper Fractions

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