Converting fractions to decimals
Click to explore updated 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'..
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.
\(\frac{3}{8}\: = 3 \div 8 = 0.375\)
More guides on this topic
- NEW: Whole numbers
- NEW: Order of operations and negative numbers
- NEW: Decimals
- NEW: Converting between fractions, decimals and percentages
- NEW: Higher – How to convert recurring decimals
- NEW: How to round numbers
- NEW: What is accuracy in maths?
- NEW: What are fractions?
- NEW: How to add, subtract, multiply and divide fractions
- NEW: Multiples and factors
- NEW: Highest Common Factor and Lowest Common Multiple
- NEW: Laws of indices
- NEW: Negative and fractional indices
- NEW: Standard form
- NEW: Calculations using standard form
- Whole numbers - AQA
- Approximation - AQA
- Decimals - AQA
- Multiples and factors - AQA
- Laws of indices - AQA
- Fractions - AQA
- Standard form - AQA
- Surds - AQA
- Financial mathematics - AQA