Question

Simplify:

\[3 + \frac{5}{- 7}\]

Answer 1

\[3 + \frac{5}{- 7} = \frac{3}{1} + \frac{- 5}{7}\]
\[\text{L.C.M. of thedenominators 1 and 7 is 7}.\]
\[\text{Now, we willexpress}\frac{3}{1}\text{in the form in which it takes thedenominator 7}.\]
\[\frac{3 \times 7}{1 \times 7} = \frac{21}{7}\]
\[\frac{3}{1} + \frac{- 5}{7} = \frac{21}{7} + \frac{- 5}{7}\]
\[ = \frac{21 + ( - 5)}{7}\]
\[ = \frac{21 - 5}{7}\]
\[ = \frac{16}{7}\]