Fraction Calculator

Adding fractions is simple for same denominator. To find a common denominator, multiply the numerator and denominator of each fraction by the product of the denominators, ensuring the new denominator is a multiple of each original denominator. Multiply the numerators by their factors to keep their values intact. For complex fractions, use online tools like this fraction calculator to automate the process.

$\frac{a}{b}+\frac{c}{d}=\frac{a\times d}{b\times d}+\frac{c\times b}{d\times b}=\frac{ad+bc}{bd}$

$\frac{2}{3}+\frac{1}{4}=\frac{2\times 4}{3\times 4}+\frac{1\times 3}{4\times 3}=\frac{8}{\mathrm{12}}+\frac{3}{\mathrm{12}}=\frac{\mathrm{11}}{\mathrm{12}}$

Fraction subtraction resembles to fraction addition. Make the denominators of fractions same or use the LCM method to proceed. For more clarification, please see the addition section.

$\frac{a}{b}-\frac{c}{d}=\frac{a\times d}{b\times d}-\frac{c\times b}{d\times b}=\frac{ad-bc}{bd}$

$\frac{2}{3}-\frac{1}{4}=\frac{2\times 4}{3\times 4}-\frac{1\times 3}{4\times 3}=\frac{8}{\mathrm{12}}-\frac{3}{\mathrm{12}}=\frac{5}{\mathrm{12}}$

Fraction multiplication is quite simple. To multiply fractions, you have to multiply the numerators & the denominators of each fraction, resulting in a new numerator and denominator. The calculator with fractions also reduces the fractions to their simplifies form.

$\frac{a}{b}\times \frac{c}{d}=\frac{\mathrm{ac}}{\mathrm{bd}}$

$\frac{2}{3}\times \frac{1}{4}=\frac{2}{\mathrm{12}}=\frac{1}{6}$

Dividing fractions is similar to multiplying them. To divide fractions multiply the first fraction by the reciprocal of the second. Like the reciprocal of 1/4 is 4/1.

$\frac{a}{b}/\frac{c}{d}=\frac{a}{b}\times \frac{d}{c}=\frac{\mathrm{ad}}{\mathrm{bc}}$

$\frac{2}{3}/\frac{1}{4}=\frac{2}{3}\times \frac{4}{1}=\frac{8}{3}$