General Calculators
Fraction Calculator
Add, subtract, multiply and divide fractions with exact simplification, mixed numbers and decimal equivalents.
Calculator
Enter your values and calculate.
Result
Results appear here.
Formula
Addition and subtraction need a common denominator. a/b + c/d = (ad + bc) / bd, then divide the top and bottom by their highest common factor.
Multiplication: a/b × c/d = ac / bd.
Division: a/b ÷ c/d = a/b × d/c. The second denominator cannot be zero.
Solved example
A student finishes 3/4 of a worksheet, then another 1/2 of the same worksheet is assigned as extra.
3/4 + 1/2 = 3/4 + 2/4 = 5/4.
5/4 is the mixed number 1 1/4. That is more than one full worksheet, by a quarter.
Frequently asked questions
Why is 3/4 + 1/2 not 4/6?
You cannot add the tops and the bottoms separately. Half is 2/4, so 3/4 + 2/4 = 5/4.
Does the calculator keep the fraction exact?
Yes. It uses whole-number numerators and denominators, then simplifies. A decimal is only an extra view of that exact fraction.
What happens if a denominator is 0?
The calculation stops. A fraction with denominator 0 is not a number, so there is no result to show.
Is 5/4 the same as 1 1/4 on a school answer sheet?
Yes. 5/4 is an improper fraction and 1 1/4 is the mixed number. Both name the same amount. Follow the form your teacher asked for.