Mixed Numbers to Improper Fractions and
Improper Fractions to Mixed Numbers

What if we need to convert a Mixed Number into an Improper Fraction?
Say 2½

Multiply the whole number part, 2, by the denominator of the fraction part.
2 x 2 = 4, and add this to the numerator, 4 + 1 = 5, this number is now the numerator, write this above the denominator, 5/2 and you have an improper fraction.


What if we need to convert an Improper Fraction into a Mixed Number?
Say 7/2

Divide the numerator by the denominator, 7 ÷ 2, which is 3 with 1 remaining.
We now have our whole number part of the mixed number ... 3
The remainder, 1, becomes the numerator, write this above the denominator ½
Put the two together, 3 and ½ to give 3½ and you have a mixed number.

You can easily check your answer by doing the inverse - changing it back.


Try this Mixed Number Pizzas  worksheet or these Fraction Cards to cut out and match up from Primary Resourses to practice converting.

This Basic Fractions Quiz from BBC is well worth attempting.

Play Bamzooki Fractions Basic

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Proper Fractions, Improper Fractions and Mixed Numbers  Equivalent Fractions  title=

CAT4 / 12 Pus papers