Fractions & Percentages Ages 10–11
Fraction Visualiser
Adjust the sliders to see how the numerator and denominator change the size of the fraction.
Fraction Types
A proper fraction has a numerator smaller than the denominator. It is less than 1.
An improper fraction has a numerator larger than or equal to the denominator. It represents 1 or more wholes.
A mixed number combines a whole number with a proper fraction. (e.g. 3 wholes and a half).
How to convert between Improper and Mixed fractions:
Fraction Operations
To find a fraction of an amount: Divide by the bottom, multiply by the top.
40 ÷ 5 = 8. Then 8 × 3 = 24.
You must find a Common Denominator before adding or subtracting.
Multiplication: Multiply the tops, multiply the bottoms.
Division (KFC): Keep the first, Flip the second, Change ÷ to ×.
The 100 Grid
Percent means "out of 100". Use the 100-grid to visualise percentages.
Increase & Decrease
Fractions, Decimals, Percentages
Click a common fraction below to see its decimal and percentage equivalents. Memorising these is crucial for the 11+!
