Question

Simplify:

\[1 + \frac{- 4}{5}\]

Answer 1

\[ 1 + \frac{- 4}{5} = \frac{1}{1} + \frac{- 4}{5}\]
\[\text{L.C.M. of thedenominators 1 and 5 is 5.}\]
\[\text{Now, we will express}\frac{1}{1}\text{in the form in whichit takes the denominator 5.}\]
\[\frac{1 \times 5}{1 \times 5} = \frac{5}{5}\]
\[\frac{1}{1} + \frac{- 4}{5} = \frac{5}{5} + \frac{- 4}{5}\]
\[ = \frac{5 - 4}{5}\]
\[ = \frac{1}{5}\]