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Mixed-Improper Fraction Conversions

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Mixed-Improper Fraction Conversions

The food truck is preparing recipes for a community picnic. Convert between mixed numbers and improper fractions to check each amount. Show how you worked where space is provided.

Convert mixed numbers to improper fractions

Remember: multiply the whole number by the denominator, then add the numerator. Keep the denominator the same.

1.The recipe needs 2 1/3 cups of oats. Write 2 1/3 as an improper fraction.
2.A batch uses 1 2/5 cups of berries. Convert 1 2/5 to an improper fraction.
3.The truck has 3 3/4 litres of soup. Write this amount as an improper fraction of a litre.
4.A fruit platter contains 2 4/7 kilograms of sliced fruit. Convert 2 4/7 to an improper fraction.

Convert improper fractions to mixed numbers

Divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the new numerator.

5.A jug holds 11/4 litres of lemonade. Convert 11/4 to a mixed number.
6.There are 17/6 trays of mini muffins ready to serve. Write 17/6 as a mixed number.
7.A picnic order includes 23/8 kilograms of potatoes. Convert 23/8 to a mixed number.
8.The kitchen has 19/5 metres of paper table covering. Write 19/5 as a mixed number.

Check and explain

Use the conversions to make sure each amount still represents the same quantity.

9.A cook says that 3 2/5 is equal to 17/5. Is the cook correct? Show one calculation to justify your answer.
10.A helper converts 14/3 cups to 4 2/3 cups. Check whether the conversion is correct. Explain your answer.
11.Choose the matching pair: which mixed number is equal to 26/7?
  • 3 5/7
  • 3 4/7
  • 2 5/7
  • 4 1/7

2 printable pages

  • Mixed-Improper Fraction Conversions, page 1 of 2: Convert mixed numbers to improper fractions, Convert improper fractions to mixed numbers

    Page 1

  • Mixed-Improper Fraction Conversions, page 2 of 2: Check and explain

    Page 2

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