Everyday Math
Fraction Calculator
Add, subtract, multiply, or divide two fractions with automatic simplification and a decimal equivalent. Free instant fraction calculator.
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Decimal Equivalent 0
What is 1/2 + 1/3 in lowest terms?
Add, subtract, multiply, or divide two fractions and get a reduced fraction plus a decimal. The reduction step is the part people skip on paper: divide numerator and denominator by their greatest common divisor.
The four operations
1/2 + 1/3 = 3/6 + 2/6 = 5/6. Mixed numbers: convert to improper fractions first (2 1/4 = 9/4).
a/b + c/d = (ad + bc) / bd
a/b − c/d = (ad − bc) / bd
a/b × c/d = ac / bd
a/b ÷ c/d = ad / bc (then reduce)
Frequently Asked Questions
How do I add two fractions?
Cross-multiply to get a common denominator: (a/b) + (c/d) = (a*d + c*b) / (b*d). For example, 1/2 + 1/3 = (1*3 + 1*2) / (2*3) = 5/6.
How do I subtract two fractions?
Similar to addition but subtract the cross-products: (a/b) - (c/d) = (a*d - c*b) / (b*d). For example, 3/4 - 1/4 = (3*4 - 1*4) / (4*4) = 8/16, which simplifies to 1/2.
How do I multiply two fractions?
Multiply the numerators together and the denominators together: (a/b) x (c/d) = (a*c) / (b*d). For example, 2/3 x 3/4 = 6/12, which simplifies to 1/2.
How do I divide two fractions?
Multiply the first fraction by the reciprocal (flip) of the second: (a/b) / (c/d) = (a/b) x (d/c) = (a*d) / (b*c). For example, 1/2 / 1/4 = 1/2 x 4/1 = 4/2, which simplifies to 2.
How does this calculator simplify fractions?
It finds the greatest common divisor (GCD) of the numerator and denominator using the Euclidean algorithm, then divides both by that GCD to reduce the fraction to its simplest form.
What is a fraction's decimal equivalent?
It's simply the numerator divided by the denominator. For example, 5/6 as a decimal is approximately 0.8333.
Can I use negative numbers?
Yes, this calculator supports negative numerators and denominators, and correctly handles sign simplification (e.g. a negative denominator moves the sign to the numerator).
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