Divide fractions

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

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

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: divide fractions

Fractions are divided by multiplying the first numerator by the second denominator and the first denominator by the second numerator.

\(\displaystyle \frac{a}{b}÷\frac{c}{d}= \frac{a×d}{b×c}\)

divide by

\(\displaystyle 2\frac{2}{3}÷ 1\frac{1}{2}\)

In order to solve the integers, they are multiplied by the denominator and added to the numerator.

\(\displaystyle 2\frac{2}{3}÷1\frac{1}{2} = \frac{2×3+2}{3}÷\frac{1×2+1}{2}=\frac{8}{3}÷\frac{3}{2}\)

Then the numerator and denominator are multiplied and the fraction reduced.

\(\displaystyle \frac{8}{3}÷\frac{3}{2}=\frac{8×2}{3×3}=\frac{16}{9}=\color{blue}{1\frac{7}{9}}\)