Fractions, Decimals and Percentages Mixed Drill
Fractions, decimals and percentages, often shortened to FDP, are three different ways of writing the same proportion of a whole, for example 1/2, 0.5 and 50% all describe exactly half. 11+ papers frequently mix all three forms within the same question, asking a child to convert between them or to order a mixed list, so this drill trains the quick conversions and equivalences needed to handle any of the three forms without hesitation.
Method
- Learn the common equivalences by heart first, halves, quarters, fifths and tenths as fractions, decimals and percentages, since these appear constantly and should not need re-deriving.
- To convert a fraction to a decimal, divide the numerator by the denominator; to convert a fraction to a percentage, convert to a decimal first then multiply by 100.
- To convert a decimal to a percentage, multiply by 100 (move the decimal point two places right); to convert a percentage to a decimal, divide by 100.
- To convert a decimal to a fraction, write it over the correct power of 10, tenths or hundredths, then simplify.
- When ordering a mixed list of fractions, decimals and percentages, convert everything into the same form, usually decimals, before comparing.
- Double-check any conversion that does not match a memorised equivalence by working it out a second way, for example checking a fraction-to-percentage conversion by finding the fraction of 100.
Worked example
Put these in order from smallest to largest: 3/5, 0.55, 62%.
- Convert each value to a decimal: 3/5 = 3 / 5 = 0.6.
- 0.55 is already a decimal.
- Convert 62% to a decimal by dividing by 100: 62 / 100 = 0.62.
- Compare the three decimals: 0.55, 0.6, 0.62.
- In order from smallest to largest: 0.55, 3/5 (0.6), 62%.
Practice questions
Type your answer and press Check to be marked straight away, or reveal the answer and mark yourself.
Q1Write 3/4 as a decimal.Show answer
Answer: 0.75
Q2Write 0.2 as a percentage.Show answer
Answer: 20%
Q3Write 45% as a fraction in its simplest form.Show answer
Answer: 9/20
Q4Write 7/10 as a percentage.Show answer
Answer: 70%
Q5Order these from smallest to largest: 0.4, 1/2, 35%.Show answer
Answer: 35%, 0.4, 1/2
Q6Write 0.08 as a fraction in its simplest form.Show answer
Answer: 2/25
Exam-style questions
Written in the style of a 11+ exam paper, with a full mark scheme.
Which is greater: 5/8 or 62%? Show your working.
Show mark scheme
Tick each line you got. Your score builds from the marks on the scheme.
Nothing ticked yet - 2 available
A pie chart shows that 30% of pupils walk to school, 1/4 travel by car, and the rest travel by bus. What percentage of pupils travel by bus?
Show mark scheme
Tick each line you got. Your score builds from the marks on the scheme.
Nothing ticked yet - 3 available
Free printable worksheet
Want more practice on paper? Download the fractions, decimals and percentages mixed drill worksheet pack - 9 pages of exam-style questions with a full mark scheme. One email opens every download in this browser for 14 days - no account, no card. Print it for personal and classroom use.
This topic is chapter 29 of 11+ Maths Workbook 1, the whole course as one free printable PDF.
Next topics
Not quite what you needed?
Tell us what is missing on fractions, decimals and percentages mixed drill, or which topic to write up next. Every request is read, and we reply to every one.
Build a full practice pack.
This topic is one of hundreds in the library - pick the ones a student needs and generate a printable PDF in minutes.