Fraction Calculator
Combine two fractions with any operation and get the simplified result, the decimal equivalent and the common denominator used.
3/4 + 2/3
17/12
Simplified · decimal 1.416667
Decimal
1.416667
As a percentage
141.67%
- Before simplifying
- 17/12
- Greatest common divisor
- 1
- Simplified
- 17/12
- Mixed number
- 1 5/12
- Decimal
- 1.416667
How this was calculated
- 1.Use the common denominator 4 × 3 = 12.
- 2.Result before simplifying: 17/12.
- 3.Divide both parts by the GCD (1) to get 17/12.
How the fraction calculation works
To add or subtract fractions you first need a common denominator. Multiplying the two denominators always works, then adjusting the numerators keeps the value the same.
Multiplying fractions is easier: multiply the numerators and the denominators. Dividing by a fraction is the same as multiplying by its reciprocal, which is why the second fraction is flipped.
Always simplify at the end by dividing both parts by their greatest common divisor. A simplified fraction has no common factors left, so 6/8 becomes 3/4.
Worked example
3/4 + 2/3.
- →Common denominator = 12
- →9/12 + 8/12 = 17/12
- →17/12 = 1 5/12
Answer: 17/12, or 1 5/12, or 1.4167.
Fraction FAQs
How do I simplify a fraction?
Divide the top and bottom by their greatest common divisor. For 18/24 the GCD is 6, so 18/24 = 3/4.
Can I enter negative fractions?
Yes, put a minus sign on the numerator. Negative denominators are converted automatically so the sign always sits on top.
What is a mixed number?
A whole number plus a proper fraction, like 1 5/12. It means the same as the improper fraction 17/12.
Fraction Calculator is part of the math calculators collection on Calcora, alongside 7 other tools. Results are calculated in your browser and are for information only — see our disclaimer.
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