Decimal to Fraction Converter

Convert any decimal number to a simplified fraction instantly

Result

3/4

= 0.75

3 / 4 (simplified)

Step-by-step:

  1. Write 0.75 as 0.75/1
  2. Multiply by 10,000,000 to remove decimal: 7500000/10000000
  3. Simplify by dividing by GCD (2500000):
    = 3/4

Frequently Asked Questions

How do you convert a decimal to a fraction?
Write the decimal as a fraction with 1 as the denominator (e.g., 0.75 = 0.75/1). Multiply both numerator and denominator by 10 for each digit after the decimal point (0.75 × 100 / 1 × 100 = 75/100). Then simplify by dividing by the greatest common divisor (75/100 ÷ 25/25 = 3/4).
How do you convert a repeating decimal to a fraction?
For repeating decimals like 0.333..., set x = 0.333... Multiply both sides by 10 (10x = 3.333...), subtract x (10x - x = 3.333... - 0.333... = 3), so 9x = 3, thus x = 3/9 = 1/3.
What is 0.5 as a fraction?
0.5 as a fraction is 1/2. Since 0.5 = 5/10, and the GCD of 5 and 10 is 5, dividing both by 5 gives 1/2.