Decimal to Fraction Converter
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Formula: Multiply by 10^n to remove decimals, then simplify by GCD
Decimal to Fraction Converter
Converting decimals to fractions helps express values in exact form, avoiding rounding issues common with decimal representations.
Conversion Formula
Multiply by 10^n to remove decimals, then simplify by GCD
The decimal is multiplied by 10^n (where n is the number of decimal places) to get the numerator. The denominator is 10^n. Both are divided by their GCD.
Step-by-Step Examples
0.375 = 3/8
0.375 = 375/1000. GCD(375,1000) = 125. Result: 3/8.
0.5 = 1/2
0.5 = 5/10. GCD(5,10) = 5. Result: 1/2.
Frequently Asked Questions
How do I convert a decimal to a fraction?
Write the decimal over a power of 10 based on the number of decimal places, then simplify. For example, 0.75 = 75/100 = 3/4.
What is 0.5 as a fraction?
0.5 = 5/10 = 1/2.
What is 0.333 as a fraction?
0.333 = 333/1000. For the exact repeating decimal 0.333..., the fraction is 1/3.
Can negative decimals be converted?
Yes. The sign is preserved in the numerator of the resulting fraction.
What about whole numbers?
Whole numbers are returned as themselves over 1 (e.g., 5 = 5/1).