To turn a decimal into a fraction, follow these steps:
- Write the decimal as a fraction with the decimal number as the numerator and 1 as the denominator.
- Multiply both the numerator and denominator by 10 for every digit after the decimal point to remove the decimal.
- Simplify the resulting fraction by dividing numerator and denominator by their greatest common divisor (GCD).
Example: Convert 0.75 to a fraction
- Write as 0.75/1
- Multiply numerator and denominator by 100 (because there are 2 digits after the decimal): 0.75×1001×100=75100\frac{0.75\times 100}{1\times 100}=\frac{75}{100}1×1000.75×100=10075
- Simplify 75100\frac{75}{100}10075 by dividing by 25: 34\frac{3}{4}43
Thus, 0.75 as a fraction is 34\frac{3}{4}43. If the decimal has a whole number part, separate it and convert only the decimal part, then combine again. This method works for non-repeating decimals. Repeating decimals require a different approach. This explanation is based on multiple educational sources and examples.
