From Förberedande kurs i matematik 1

• • • • • REVISE***

We calculate the double fraction by multiplying top and bottom by the reciprocal of the denominator:

\displaystyle \frac{\frac{3}{5}}{\frac{7}{10}}=\frac{\frac{3}{5}\centerdot \frac{10}{7}}{\frac{7}{10}\centerdot \frac{10}{7}}=\frac{3}{5}\centerdot \frac{10}{7}

The expression can now be simplified further by removing the common factor \displaystyle 5 .

\displaystyle \frac{3}{5}\centerdot \frac{10}{7}=\frac{3}{5}\centerdot \frac{2\centerdot 5}{7}=\frac{3\centerdot 2}{7}=\frac{6}{7}