Converting between fractions, decimals and percentages - AQAConverting 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.
To convert a fractionA fraction is a part of a whole, for example 1/2. to a decimalA 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 numeratorThe top part of a fraction. For 鈪 , the numerator is 5. by the denominatorThe bottom part of a fraction. For 鈪, the denominator is 8, which represents 'eighths'..
Example
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.