Question

Add and express the sum as a mixed fraction:

\[\frac{- 12}{5} \text{and} \frac{43}{10}\]

Answer 1

\[We have\frac{- 12}{5} + \frac{43}{10} . \]
\[\text{L.C.M. of the denominators 5 and 10 is 10.}\]
\[\text{Now, we will express}\frac{- 12}{5}\text{in the form in which it takes the denominator 10.}\]
\[\frac{- 12 \times 2}{5 \times 2} = \frac{- 24}{10}\]
\[ \therefore \frac{- 12}{5} + \frac{43}{10} = \frac{- 24}{10} + \frac{43}{10}\]
\[ = \frac{- 24 + 43}{10}\]
\[ = \frac{19}{10} \]
\[ = 1\frac{9}{10}\]