Question

Simplify:

\[\frac{- 13}{8} + \frac{5}{36}\]

Answer 1

\[\frac{- 13}{8} + \frac{5}{36}\]
\[\text{L.C.M. of thedenominators 8 and 36 is 72.}\]
\[\text{Now, we willexpress}\frac{- 13}{8}\text{and}\frac{5}{36}\text{in the form in which they take thedenominator 72.}\]
\[\frac{- 13 \times 9}{8 \times 9} = \frac{- 117}{72}\]
\[\frac{5 \times 2}{36 \times 2} = \frac{10}{72}\]
\[\frac{- 13}{8} + \frac{5}{36} = \frac{- 117}{72} + \frac{10}{72}\]
\[ = \frac{- 117 + 10}{72}\]
\[ = \frac{- 107}{72}\]