Improper Fractions: Exercises
21 October 2026
Understanding improper fractions
Improper fractions are fractions where the numerator is equal to or greater than the denominator. These often come from combining whole numbers and fractions into a single fraction.
Why practise improper fractions
Children preparing for the 11+ will often need to write mixed numbers as improper fractions. This skill is essential for tackling more complex fraction problems later on.
Key insight: Start by multiplying the whole number by the denominator
When converting a whole number and a fraction to an improper fraction, multiply the whole number by the denominator of the fraction first. This gives you the number of fractional parts in the whole number.
Worked example
Convert 2 and 3/5 to an improper fraction
Step 1: Multiply the whole number by the denominator. 2 × 5 = 10.
Step 2: Add the numerator of the fraction. 10 + 3 = 13.
Step 3: Write the result over the original denominator. The answer is 13/5.
Practising with different numbers
Try converting other mixed numbers, such as 4 and 2/3 or 1 and 7/8, into improper fractions. Repeat the steps for each one to build confidence.
Checking your work
After converting, check by dividing the numerator by the denominator. The answer should match the original whole number and fraction if the conversion is correct.
