Improper fractions to mixed numbers

NumberKS3 / GCSE

Convert a top-heavy fraction into a whole number and a proper fraction.

Divide the numerator by the denominator.
The quotient gives the whole number. Put the remainder over the original denominator.
Simplify the fraction part if needed. If the remainder is zero, the answer is a whole number.

Example 1

Use the remainder

Write the improper fraction as a mixed number.

gives 3 remainder 2.

Simplify the fraction part

Write the improper fraction as a mixed number in its simplest form.

gives 2 remainder 6.

Highest common factor: 2.

Cancel the common factor from top and bottom.

Question 1

Write the improper fraction as a mixed number.

Check answer

gives 2 remainder 3.

Question 2

Write the improper fraction as a mixed number.

Check answer

gives 3 remainder 1.

Question 3

Write the improper fraction as a mixed number.

Check answer

gives 3 remainder 5.

Question 4

Write the improper fraction as a mixed number in its simplest form.

Check answer

gives 2 remainder 10.

Highest common factor: 2.

Cancel the common factor from top and bottom.

Question 5

Write the improper fraction as a mixed number.

Check answer

gives 4 remainder 7.