Back to Exercise: Interpret a fraction as division of the numerator by the denominator

Exercises: Fractions as Division

Work through each section in order. When a division does not come out to a whole
number, write the answer as a fraction or mixed number — never as a remainder.

Grade 5·22 problems·~28 min·Common Core Math - Grade 5·standard·5-nf-b-3
Work through problems with immediate feedback
A

Recall / Warm-Up

These problems review division skills from earlier grades.

1.

Compute 15÷315 \div 3.

2.

Convert the improper fraction 114\frac{11}{4} to a mixed number.

3.

Divide 17 by 5 using whole numbers. Write the quotient and remainder:   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   R   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  

quotient:
remainder:
B

Fluency Practice

1.

Write the division 5÷85 \div 8 as a fraction.

2.

Write the division 9÷49 \div 4 as a mixed number.

3.

If 5÷8=585 \div 8 = \frac{5}{8}, verify this by computing 58×8\frac{5}{8} \times 8.

4.

Compute the division 23÷623 \div 6 and write your answer as a mixed number.

5.

175\frac{17}{5} lies between the whole numbers   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   and   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

lower whole number:
upper whole number:

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