Decimal to Fraction Calculator
A decimal to fraction calculator converts terminating and repeating decimal numbers into fully simplified proper or mixed fractions. By expressing the decimal over powers of ten and dividing by the greatest common divisor (GCD), it shows that 0.75 simplifies into 3/4 and 1.625 simplifies into 1 5/8.
By Daniel Okoro (Mathematics Editor) · Reviewed by Maya ChenUpdated · Published
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REDUCED FRACTION
Decimal form is 0.
How Does the Decimal to Fraction Calculator Work?
- Enter any decimal value (e.g. 0.625 or 3.75).
- The converter sets the decimal over 10, 100, 1000, etc.
- Divides both numerator and denominator by their greatest common factor to reduce to simplest terms.
What Is the Decimal to Fraction Formula?
Fraction = (Decimal × 10^k) / 10^k
Place the decimal digits over powers of 10 and reduce using the GCD.
Variables
10^k:Power of 10 matching decimal places
How Do You Calculate Decimal to Fraction Step by Step?
Converting 0.625 to a simplified fractionDecimal: 0.625
Count decimal places: 3 places -> 625 / 1000
Find GCD of 625 and 1000: GCD = 125
Divide numerator & denominator by 125: 625 ÷ 125 = 5, 1000 ÷ 125 = 8
Final Solution:5/8
Decimal to Fraction Questions and Answers
0.75 is 75/100, which reduces to 3/4.
Where Do These Decimal to Fraction Standards Come From?
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