Fraction Calculator

This fraction calculator can work with expressions containing fractions, integers, decimals, mixed numbers, and simple fraction operations. In addition, the calculator helps derive values from various fractional operations.

What is a Fraction?

A fraction is a number that, in mathematics, represents a portion of a whole. There are two parts: a numerator and a denominator. The denominator is the total number of pieces that make up the whole, while the numerator is the number of equally sized portions of the whole. For instance, the numerator of the fraction 3/8 is 3, and the denominator is 8. An illustration that is more concrete would be a pie with eight slices. A fraction would have 1 of those eight pieces as the numerator and the remaining eight slices, which make up the entire pie, as the denominator. The fraction of the pie remaining after five slices would be 3/8. Remember that a fraction’s denominator cannot be zero because it would render the fraction meaningless.

Adding fractions example

\( \dfrac{a}{b} + \dfrac{c}{d} = \dfrac{ad+bc}{bd} \)

\( \dfrac{1}{3} + \dfrac{1}{4} = \dfrac{(1 × 4) + (1 × 3)}{4 × 3} = \dfrac{7}{12} = 0.58333 \)

Subtracting fractions example

\( \dfrac{a}{b} – \dfrac{c}{d} = \dfrac{ad – bc}{bd} \)

\( \dfrac{1}{5} – \dfrac{1}{8} = \dfrac{(1 × 8) – (1 × 5)}{5 × 8} = \dfrac{3}{40} = 0.075 \)

Multiplying fractions example

\( \dfrac{a}{b} . \dfrac{c}{d} = \dfrac{ac}{bd} \)

\( \dfrac{1}{3} × \dfrac{1}{4} = \dfrac{1 × 1}{3 × 4} = \dfrac{1}{12} \)

Check more about Multiplying Fractions

Dividing fractions example

\( \dfrac{\frac{a}{b}}{\frac{c}{d}} = \dfrac{ad}{bc} \)

\( \dfrac{1}{2} ÷ \dfrac{1}{3} = \dfrac{1}{2} × \dfrac{3}{1} = \dfrac{1 × 3}{2 × 1} = \dfrac{3}{2} = 1\dfrac{1}{2}\)

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