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