Add Fractions

This function adds two fractions. Optionally, an integer can also be specified for each fraction.

To perform the calculation, enter the appropriate values. Then click on the 'Calculate' button

Add Fractions Calculator  Input Delete Entries + Result

Negative mixed fraction

When entering, a negative sign in front of the integer applies to the entire fraction.

\(\displaystyle -2\frac{2}{3}\) is interpreted as   \(\displaystyle -\left(2\frac{2}{3}\right)\)

Example: add fractions

Add the following fractions

\(\displaystyle \frac{2}{3}+\frac{1}{6}\)

Find common denominator by multiplication

\(\displaystyle 3 × 6 = 18\)

Calculate the multiplier of the numerators

\(\displaystyle 18 ÷ 3 = 6\)
\(\displaystyle 18 ÷ 6 = 3\)

Expand and add fractions

\(\displaystyle \frac{2 × 6}{18}+\frac{1 × 3}{18} \)

\(\displaystyle \frac{12}{18}+\frac{3}{18} = \frac{15}{18}\)

Simplify the result

\(\displaystyle \frac{15}{18} = \color{blue}{\frac{5}{6}}\)