Convert one familiar fraction to or from a percentage.
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 , then work out the same amount as a percentage.
This exercise practises convert fraction and percentage alongside its own main skill, Converting Fractions to Percentages.
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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 to a percentage
Write as a percentage.
The 3 shaded parts of this bar are 0.5 of it, and that is 50% shaded.
A bar cut into 6 equal parts, with 3 of them shaded.
0.5%
3%
50%
500%
Answer: 50%
How you get there
Per cent means "out of 100", and simplifies to , and 1 divided by 2 is 0.5, which is 50 parts out of every 100, so the shaded part of the bar is 50% of the whole.
Why the other answers tempt
Putting a % sign after the decimal does not turn it into a percentage.
If they are stuck, say this
The bar's 6 parts do not divide into 100, so simplify first, then divide the top number by the bottom one and multiply by 100.
Drive the bar to , then work out the same amount as a percentage.
This engine’s own main skill is Converting Fractions to Percentages. It practises convert fraction and percentage alongside it.
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.
Step 1. Line them up. Drag any lane. Land all three on and watch the other two follow.
Step 2. Under the flap. Two lanes are covered. is what percentage?
What to say if they get stuck
Drag any lane and all three move together - they are one amount wearing three names.
means the whole is cut into 8 equal pieces and you take 3.
Per cent means "out of a hundred". Fill the hundred square and count the cells.
How convert fraction and percentage 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 percentage, and it stops where excludes finding a percentage of a quantity and chained unit conversion.
Questions parents ask about convert fraction and percentage
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 percentage. 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.
Putting a % sign after the decimal does not turn it into a percentage. The wrong answers on this skill are built out of that, not out of random numbers, so it is worth naming out loud before your child meets it under time pressure.
Point at the next move rather than explaining the whole rule. The bar's 6 parts do not divide into 100, so simplify first, then divide the top number by the bottom one and multiply by 100.
The skill map draws the line here: Excludes finding a percentage of a quantity and chained unit conversion. A question past that line is testing a different named maths skill, which is worth knowing before you spend a week practising the wrong one.
The fractions, decimals and percentages strand holds 9 skills that are tested together, and the pages next to convert fraction and percentage are find a fraction of a quantity, find a percentage of a quantity and identify a represented fraction. Each has its own exercise and its own link, and none of them needs an account.
Use Triple Track, embedded on this page. It is the exercise the skill map attaches to convert fraction and percentage, it runs in the browser with no account to make, nothing is scored, and nothing a child does here is recorded or sent anywhere. It also has its own link, so you can send it to a child without sending them anywhere else first.
Knowing which maths topic to practise is most of the work
A free diagnostic covers arithmetic, fractions, geometry, measure and data handling, and comes back with the topics to spend the next few weeks on.
