Fraction Calculator
A fraction calculator adds, subtracts, multiplies, and divides proper, improper, and mixed fractions while reducing final answers to lowest common denominators. Using prime factorization, it shows each step of fraction arithmetic, demonstrating that adding 1/2 and 1/3 yields 5/6 through a shared denominator of 6.
By Daniel Okoro (Mathematics Editor) · Reviewed by Maya ChenUpdated · Published
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REDUCED FRACTION
Decimal form is 0.
How Does the Fraction Calculator Work?
- Enter the numerator and denominator for both fractions.
- Choose the operation: Add (+), Subtract (-), Multiply (×), or Divide (÷).
- The calculator reduces the fraction to lowest terms and converts to a mixed number and decimal.
What Is the Fraction Formula?
(a/b) ± (c/d) = (ad ± bc) / bd ; (a/b) × (c/d) = ac / bd
Find a common denominator for addition/subtraction, or multiply straight across.
Variables
a/b:First fraction
c/d:Second fraction
How Do You Calculate Fraction Step by Step?
Adding 2/3 + 3/4Fraction 1: 2/3
Operation: +
Fraction 2: 3/4
Find common denominator: 3 × 4 = 12
Convert numerators: (2 × 4) / 12 + (3 × 3) / 12 = 8/12 + 9/12
Add numerators: 17/12
Convert to mixed fraction: 1 5/12 (Decimal: ~1.4167)
Final Solution:17/12 = 1 5/12 (~1.417)
Fraction Questions and Answers
To divide fractions, multiply the first fraction by the reciprocal (flip) of the second fraction: (a/b) ÷ (c/d) = (a/b) × (d/c).
Where Do These Fraction Standards Come From?
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