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Converting between fractions, decimals and percentages - EduqasConverting fractions to decimals

Fractions, decimals and percentages are frequently used in everyday life. Knowing how to convert between them improves general number work and problem solving skills.

Part of MathsNumber

Converting fractions to decimals

To convert a to a , you need to use written division methods to divide the by the .

Convert \(\frac{3}{8}\) into a decimal.

  • Divide 3 by 8.
  • 8 is bigger than 3, so the division will go into decimal places. Make sure you keep the decimal points in line. Placeholder zeros will help you complete the calculation.
Example of long division (3 / 8)
  • 3 divided by 8 is 0, remainder 3. Carry the 3 to the tenths column.
  • 30 divided by 8 is 3, remainder 6.
  • 60 divided by 8 is 7, remainder 4.
  • 40 divided by 8 is 5.

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