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Fraction Calculator
Add, subtract, multiply, and divide fractions and mixed numbers.
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Add, subtract, multiply, and divide fractions and mixed numbers.
Perform arithmetic on two fractions.
Standard Logic
(a/b) + (c/d) = (ad + bc) / bd
Add, subtract, multiply, and divide fractions with ease. See step-by-step simplified results and visual pie representations of the values.
a/b + c/d = (ad + bc) / bdTo add or subtract, we find a common denominator (bd), adjust the numerators, and combine. To multiply, we multiply straight across (ac/bd). To divide, we multiply by the reciprocal (ad/bc).
This calculator displays the mixed number equivalent automatically in the result section (e.g., 5/2 = 2 1/2).
You cannot directly add slices of different sizes (halves and thirds). Making the denominators the same ensures all 'slices' are equal size before adding.
Simplifying means dividing both the top and bottom numbers by their Greatest Common Divisor (GCD) to get the smallest possible whole numbers (e.g., 4/8 becomes 1/2).
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