Converting Decimals to Fractions
Converting a decimal to a fraction involves expressing the decimal as a ratio of two integers, then simplifying to lowest terms.
Conversion Method
- Count the decimal places
- Write the digits as the numerator
- Use a power of 10 as denominator (1 followed by that many zeros)
- Simplify the fraction
Examples
Example 1: Convert 0.75 to fraction
75/100 = 3/4 (simplified by dividing by 25)
Example 2: Convert 0.625 to fraction
625/1000 = 5/8 (simplified by dividing by 125)
Example 3: Convert 0.4 to fraction
4/10 = 2/5 (simplified by dividing by 2)
Common Conversions
- 0.5 = 1/2
- 0.25 = 1/4
- 0.75 = 3/4
- 0.2 = 1/5
- 0.125 = 1/8
- 0.1 = 1/10
Repeating Decimals
For repeating decimals (like 0.333...), special techniques are needed. For example, 0.333... = 1/3, and 0.666... = 2/3.
Quick Tips
- Double-check your inputs for accurate results
- Use parentheses to clarify order of operations
- Results are rounded — consider significant figures
Frequently Asked Questions
Write the decimal over a power of 10, then simplify.
0.5 = 1/2
0.25 = 1/4
Repeating decimals require algebraic methods (e.g., 0.333... = 1/3).
0.125 = 1/8