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Maths · Fractions, decimals and percentages

Convert fraction and decimal

Convert one familiar fraction to or from a decimal.

Free to use and free to share. There is no sign-up, no score, and nothing a child does here is recorded or sent anywhere.

Practise it now

Drive the bar to 38, then work out the same amount as a percentage.

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A worked example

One question of the kind this skill is tested with, worked all the way through: the reasoning, and what the wrong answers are there to catch.

From 920 to a decimal

Write 920 as a decimal.

The bar is cut into 20 equal parts and 9 are shaded, and 9 divided by 20 is 0.45.

  • A bar cut into 20 equal parts, with 9 of them shaded.
  1. 0.0045
  2. 0.45
  3. 0.9
  4. 9.2

Answer: 0.45

How you get there

920 means 9 divided by 20, which equals 0.45 exactly, so the shaded part of the bar is 0.45 of the whole.

Why the other answers tempt

The digits of the fraction are not the digits of the decimal.

If they are stuck, say this

A fraction is a division: work out 9 divided by 20 and keep track of where the decimal point lands.

Now do it live in Triple Track

What this exercise is doing

Triple Track

Drive the bar to 38, then work out the same amount as a percentage.

38 shades 3 of the 8 pieces of the bar. Dividing 3 by 8 gives exactly 0.375, and "per cent" just means "out of a hundred", so multiplying by 100 gives 37.5%. The three lanes stop at the same place on the board because they are not three amounts: they are one amount written three ways. Nothing was rounded anywhere - 3 divided by 8 stops dead after three decimal places.

  1. Step 1. Line them up. Drag any lane. Land all three on 38 and watch the other two follow.
  2. Step 2. Under the flap. Two lanes are covered. 38 is what percentage?

What to say if they get stuck

  1. Drag any lane and all three move together - they are one amount wearing three names.
  2. 38 means the whole is cut into 8 equal pieces and you take 3.
  3. Per cent means "out of a hundred". Fill the hundred square and count the cells.

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Where convert fraction and decimal sits in the 11+

The 11+ does not test these skills in isolation, and practising one in the wrong order wastes the practice. These are the skills the curriculum map connects this one to.

Secure this first

Recognise equivalent fractions

Equivalent partitioning supports familiar fraction and decimal conversion.

This opens up

Convert decimal and percentage

Decimal equivalence supports percentage conversion.

How convert fraction and decimal differs from the skills beside it

The same exercise practises several skills, and telling them apart is often the difficulty rather than the exercise itself. On this page the skill is: convert one familiar fraction to or from a decimal, and it stops where excludes percentage conversion.

Related maths skills

All maths 11+ skills

Questions parents ask about convert fraction and decimal

Answered from what the skill map records about this skill, not from a template. Every answer here is on the page, and the same questions are the page's FAQ structured data.

Convert one familiar fraction to or from a decimal. It is one of 55 named maths skills in the 11+, in the fractions, decimals and percentages strand, and this page carries 1 interactive exercise that practises it.

Convert fraction and decimal rests on something else being secure first

This skill depends on recognise equivalent fractions. A free diagnostic checks those alongside every other maths skill, so you find out whether the problem is here or underneath it.