Worksheet: Converting Improper Fractions to Mixed Numbers

In this worksheet, we will practice writing improper fractions as mixed numbers.

Q1:

Convert the fraction 5310 to a mixed number.

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

Q2:

The height of a building is 657 meters. Write that height as a mixed number.

  • A 1 0 2 7 m
  • B 9 5 7 m
  • C 9 2 7 m
  • D 1 0 4 7 m
  • E 9 4 7 m

Q3:

Hannah’s shopping bag weighs 517 pounds. Express the bag’s weight as a mixed number.

  • A 7 4 7 lb
  • B 7 2 7 lb
  • C 8 2 7 lb
  • D 7 5 7 lb
  • E 8 4 7 lb

Q4:

The given table demonstrates the ingredients of a recipe and the amount of each ingredient. Express each ingredient’s amount as a mixed number in its simplest form.

Ingredients flour butter sugar
Amount 1 4 3 cups 1 5 7 cups 2 2 7 cups
  • Aflour: 423 cups, butter: 217 cups, sugar: 417 cups
  • Bflour: 423 cups, butter: 217 cups, sugar: 217 cups
  • Cflour: 523 cups, butter: 217 cups, sugar: 317 cups
  • Dflour: 423 cups, butter: 217 cups, sugar: 317 cups
  • Eflour: 423 cups, butter: 317 cups, sugar: 317 cups

Q5:

Noah is 5212 years old. Express his age as a mixed number in the simplest form.

  • A 3 1 3 years old
  • B 4 1 4 years old
  • C 5 1 3 years old
  • D 4 1 3 years old
  • E 4 5 1 2 years old

Q6:

Express, in years, Benjamin’s age as a mixed number in the simplest form.

Student Benjamin James Michael Noah
Age (months) 45 39 58 45
  • A 7 2 3 years
  • B 4 3 4 years
  • C 7 1 2 years
  • D 3 3 4 years
  • E 3 5 6 years

Q7:

Madison baked 21 cupcakes. How many dozen cupcakes did she bake? Express the number as a mixed number in the simplest form.

  • A 2 3 4
  • B 1 3 4
  • C 3 1 2
  • D 1 2 5
  • E 7 8

Q8:

The numerator of an improper fraction is .

  • Aless than its denominator
  • Bless than or equal to its denominator
  • Cgreater than or equal to its denominator
  • Dgreater than its denominator

Q9:

Write 1132 and 41313 in their simplest forms so that neither contains an improper fraction.

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

Q10:

Every improper fraction is .

  • Aless than every proper fraction
  • Bgreater than every proper fraction

Q11:

Convert the fraction 1210 to a mixed number.

  • A 2 1 1 0
  • B 2 1 0
  • C 1 5
  • D 2 1 5
  • E 1 1 5

Q12:

Convert the fraction 413 to a mixed number.

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

Q13:

Convert the fraction 578 to a mixed number.

  • A 8 1 8
  • B 6 1 8
  • C 7 1 8
  • D 1 8
  • E 1 7 8

Q14:

Convert the fraction 694 to a mixed number.

  • A 1 1 7
  • B 1 8 1 4
  • C 1 6 1 4
  • D 1 1 7 4
  • E 1 7 1 4

Q15:

The height of a building is 658 meters. Write that height as a mixed number.

  • A 8 3 8 m
  • B 9 3 8 m
  • C 9 1 8 m
  • D 8 1 8 m
  • E 8 1 2 m

Q16:

The given table demonstrates the ingredients of a recipe and the amount of each ingredient. Express each ingredient’s amount as a mixed number in its simplest form.

Ingredients flour butter sugar
Amount 5 5 8 cups 2 1 8 cups 3 1 8 cups
  • Aflour: 678 cups, butter: 258 cups, sugar: 278 cups
  • Bflour: 778 cups, butter: 258 cups, sugar: 378 cups
  • Cflour: 678 cups, butter: 258 cups, sugar: 378 cups
  • Dflour: 678 cups, butter: 358 cups, sugar: 378 cups
  • Eflour: 678 cups, butter: 258 cups, sugar: 478 cups

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