Worksheet: Converting Mixed Numbers to Improper Fractions

In this worksheet, we will practice mixed numbers to improper fractions with the same denominator using models and relating the model to a written method.

Q1:

Convert the mixed number 1047 to an improper fraction.

  • A 7 4 4
  • B 6 6 7
  • C 4 7 7
  • D 7 4 7
  • E 7 0 4

Q2:

Elizabeth can ride her bicycle 219 miles before she starts feeling tired. Express this distance as an improper fraction.

  • A 1 3 miles
  • B 1 7 9 miles
  • C 4 3 miles
  • D 1 9 9 miles

Q3:

Write 738 as a fraction.

  • A 5 9 8
  • B 8 5 9
  • C 3 8
  • D 5 3 8
  • E 5 4

Q4:

The width of a box is 1016 inches. Write 1016 as an improper fraction.

  • A 5 9 6
  • B 6 1 6
  • C 1 7 6
  • D 1 1 6

Q5:

A rat sleeps an average of 1235 hours per day. Write 1235 as an improper fraction.

  • A 5 7 5
  • B 1 7 5
  • C 6 3 5
  • D 3 6 5
  • E 4 1 5

Q6:

City A is 758 miles away from City B. Write the distance as an improper fraction.

  • A 6 1 8
  • B 4 3 8
  • C 3 5 8
  • D 1 2 8
  • E 2 0 8

Q7:

Ethan works out daily for 114 hours. Write the number of hours as an improper fraction.

  • A 3 2 h
  • B 5 4 h
  • C 3 4 h
  • D 1 2 h

Q8:

Fill in the blanks: 1278=12+78=96+78=8.

  • A12, 103
  • B8, 103
  • C12, 89
  • D8, 89

Q9:

A rat sleeps an average of 1235 hours per day. Write 1235 as an improper fraction.

  • A 4 1 5
  • B 6 3 5
  • C 1 7 5
  • D 5 7 5
  • E 3 6 5

Q10:

Any positive improper fraction is than any positive proper fraction.

  • Agreater
  • Bsmaller

Q11:

Every improper fraction is .

  • Agreater than 1
  • Bless than 1

Q12:

The diameter of a standard pool ball is 214 inches. Write this diameter as an improper fraction.

  • A 1 1 4 in
  • B 7 4 in
  • C 9 4 in
  • D 5 2 in
  • E 9 2 in

Q13:

Which of the following improper fractions is not equivalent to any of the mixed numbers in the table?

Name Michael William Mason
Age (years) 9 1 4 2 1 4 1 5 1 2
  • A 1 1 4
  • B 3 7 4
  • C 1 7 1 2
  • D 9 4

Q14:

Which of the following numbers is closest in value to 634?

  • A6.34
  • B | 6 . 6 5 |
  • C 6 7 1 0
  • D 6 2 3

Q15:

Find the value of 115, giving your answer in its simplest form.

  • A 1 2 5
  • B 1 6 2 5
  • C 2 6 2 5
  • D 3 6 2 5
  • E 4 2 5

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