Converting Between Decimals & Fractions

Maths: Year 3 & 4 National Curriculum, topic 5.4.5

Converting Between Simple Fractions and Decimals

One half

One half

  • 12\large\frac{1}{2} is the same as 0.5.
    • 12\large\frac{1}{2} is the same as 0.5 because 1 whole is the same as 100 'hundredths'.
  • 12\large\frac{1}{2} of 100 'hundredths' is 50 'hundredths' which is the same as 0.5.
One quarter

One quarter

  • 14\large\frac{1}{4} is the same as 0.25.
    • 14\large\frac{1}{4} is the same as 0.25 because 1 whole is the same as 100 'hundredths'.
  • 14\large\frac{1}{4} of 100 'hundredths' is 25 'hundredths' which is the same as 0.25.
Three quarters

Three quarters

  • 34\large\frac{3}{4} is the same as 0.75.
    • 34\large\frac{3}{4} is the same as 0.75 because 1 whole is the same as 100 'hundredths'.
  • 34\large\frac{3}{4} of 100 'hundredths' is 75 'hundredths' which is the same as 0.75.

Test yourself on Converting Between Decimals & Fractions

  • What is 0.75 as a fraction?

  • What is 0.25 as a fraction?

  • What is 0.25 as a fraction?

Practise this topic for free