To turn a decimal into a fraction, follow these steps:
- Write the decimal divided by 1 as the fraction numerator over denominator (e.g., 0.75/1).
- Multiply both the numerator and the denominator by 10 for every digit after the decimal point. For example, if there are two digits, multiply by 100; if three digits, multiply by 1000, and so on. This removes the decimal point.
- Simplify the resulting fraction by dividing both numerator and denominator by their greatest common factor (GCF).
For example, to convert 0.75:
- Write 0.75/1.
- Multiply numerator and denominator by 100 (because there are 2 digits after the decimal): (0.75 × 100)/(1 × 100) = 75/100.
- Simplify by dividing by 25: 75 ÷ 25 / 100 ÷ 25 = 3/4.
If the decimal has a whole number part, convert only the decimal part to a fraction first, then combine it with the whole number as a mixed fraction. For repeating decimals, set the decimal equal to a variable, multiply to create an equation, subtract to eliminate the repeating part, and solve for the variable as a fraction. This is a clear and effective way to convert any decimal to a fraction.
