Turn a decimal into a fraction in its simplest form.
The decimal is multiplied by a power of ten large enough to make it a whole number.
That becomes the numerator, and the power of ten becomes the denominator.
Both are divided by their greatest common divisor to reduce the fraction.
Fraction: Decimal × 10ⁿ ÷ 10ⁿ
n: Number of decimal places
Then: Divide both parts by their GCD
Converting 0.75 into a fraction.
Decimal: 0.75
Two decimal places, so multiply by 100: 0.75 × 100 = 75
Write as a fraction: 75/100
Divide both by their GCD of 25: 3/4
Answer: 3/4
Can every decimal be written as a fraction?
Every decimal that ends, or repeats, can be. Numbers like π and √2 never end or repeat, so they cannot be written exactly as a fraction.
How accurate is the conversion for a repeating decimal?
Very close, but not exact. A computer stores 0.333… as a rounded value, so the conversion is based on that rounded number. For exact work, enter the fraction directly instead.