Converting fractions to decimals
Click to explore refreshed revision resources for GCSE Maths: Converting fractions to decimals and percentages, with step-by-step slideshows, quizzes, practice exam questions, and more!
To convert a A fraction is a part of a whole, for example 1/2. to a A number that uses powers of 10 as place value. In the example of 0.82, the 8 represents tenths and the 2 represents hundredths., you need to use written division methods to divide the The top part of a fraction. For ⅝ , the numerator is 5. by the The bottom part of a fraction. For ⅝, the denominator is 8, which represents 'eighths'..
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.
- 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.
\(\frac{3}{8}~=~3~÷~8~=~0.375\)
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- Approximation - Eduqas
- Decimals - Eduqas
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- Standard form - Eduqas
- Laws of indices - Eduqas
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