Question

Add the following rational numbers:

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

Answer 1

\[ - 3 + \frac{3}{5} = \frac{- 3}{1} + \frac{3}{5}\]
\[\text{The L.C.M. of denominators 1 and 5 is 5} . \]
\[\text{Now, we will express} \frac{- 3}{1} \text{in the form in which it takes the denominator 5} . \]
\[\frac{- 3 \times 5}{1 \times 5} = \frac{- 15}{5} \]
\[\text{So}\]
\[\frac{- 3}{1} + \frac{3}{5} = \frac{- 15}{5} + \frac{3}{5}\]
\[ = \frac{- 15 + 3}{5}\]
\[ = \frac{- 12}{5}\]