Express as a common fraction: 25+34 49+16.

We have 25+34 49+16= 8+1520 8+318=2320 1811=2310204mm 91811 =207110.

jmc

prealgebra intermediate

Problem

Express as a common fraction:

\frac{\frac{2}{5} + \frac{3}{4}}{\frac{4}{9} + \frac{1}{6}}

Solution

We have

\frac{\frac{2}{5} + \frac{3}{4}}{\frac{4}{9} + \frac{1}{6}} = \frac{\frac{8 + 15}{20}}{\frac{8 + 3}{18}} = \frac{23}{20} \times \frac{18}{11} = \frac{23}{\cancelto 10 20} \times \frac{\cancelto 9 18}{11} = \frac{207}{110} .

Final answer

\frac{207}{110}