How to turn a fraction into a decimal or a percentage
A half, a quarter, three fifths. Turn a fraction into a decimal and a percentage, find a fraction of an amount, and compare the three.
In this room: 3 tasks, 8 questions
- A fraction as a decimal3 questions. You work out a figure, pick the right answer and match pairs.
- A fraction of an amount2 questions. You work out a figure and find the mistake in a table.
- Comparing fractions, decimals and percentages3 questions. You work out a figure, pick the right answer and sort items into the right place.
A fraction is a part of a whole, written as one number over another. 3/4 means 3 of 4 equal parts.
- Top number
- how many of the parts you have
- Bottom number
- how many equal parts the whole is split into
To turn a fraction into a decimal, divide the top number by the bottom number.
Worked example: 3/8 is 3 ÷ 8 = 0.375.
Answer the questions below
2 more questions follow in this task.
- Step 1: divide the amount by the bottom number. That is one part
- Step 2: multiply one part by the top number
Worked example: 3/8 of £240. 240 ÷ 8 = £30. Then £30 × 3 = £90.
Answer the questions below
1 more question follows in this task.
To turn a fraction into a percentage, turn it into a decimal first. Then multiply by 100.
Worked example: 3/8 is 0.375 as a decimal. 0.375 × 100 = 37.5%.
To compare a fraction, a decimal and a percentage, put them all in the same form first. Percentages are often the easiest to compare.
Answer the questions below
2 more questions follow in this task.