Question

Add the following rational numbers:

\[\frac{5}{- 9} and \frac{7}{3}\]

Answer 1

\[\frac{5}{- 9} + \frac{7}{3} = \frac{- 5}{9} + \frac{7}{3}\]
\[\text{The L.C.M. of denominators}\ 9\ \text{and}\ 3\ \text{is}\ 9 . \]
\[\text{Now, we will express}\ \frac{7}{3} \text{in the form in which it takes the denominator is}\ 9 . \]
\[\frac{7 \times 3}{3 \times 3} = \frac{21}{9}\]
\[\frac{- 5}{9} + \frac{7}{3}=\frac{- 5}{9} + \frac{21}{9}\]
\[ = \frac{( - 5) + 21}{9}\]
\[ = \frac{- 5 + 21}{9}\]
\[ = \frac{16}{9}\]