FDP Conversions
How do I convert from a percentage to a decimal?
- Divide by 100 (move digits two places to the right)
- 6% as a decimal is 6 ÷ 100 = 0.06
- 40% as a decimal is 40 ÷ 100 = 0.4
- 350% as a decimal is 350 ÷ 100 = 3.5
- 0.2% as a decimal is 0.2 ÷ 100 = 0.002
How do I convert from a decimal to a percentage?
- Multiply by 100 (move digits two places to the left and add a % sign)
- 0.35 as a percentage is 0.35 × 100 = 35%
- 1.32 as a percentage is 1.32 × 100 = 132%
- 0.004 as a percentage is 0.004 × 100 = 0.4%
How do I convert from a decimal to a fraction?
- If it has one decimal place, write the digits over 10
- 0.3 is
- 1.1 is
- If it has two decimal places, write the digits over 100
- 0.07 is
- 0.13 is
- 30.01 is
- If it has n decimal places, write the digits over 10n
- 0.513 is
- 0.0007 is
- Learn simple recurring decimals as fractions
- 0.33333… = is and 0.66666… = is
- Whole numbers can be written as fractions (by writing them over 1)
- 5 is
How do I convert from a percentage to a fraction?
- Write the percentage over 100
- 37% is
How do I convert from a fraction to a decimal?
- Fractions written over powers of 10 are quicker
- which is 0.6
- which is 0.35
- which is 0.002
How do I convert from a fraction to a percentage?
- Change fractions into decimals (see above), then multiply by 100
- which is 0.8 as a decimal, which is 0.8 × 100 = 80%
Examiner Tip
- A calculator can be used to check conversions between fractions and decimals (even if the question says to show working without a calculator)