Question

Add and express the sum as a mixed fraction:

\[\frac{24}{7} \text{and} \frac{- 11}{4}\]

Answer 1

\[\text{We have}\frac{24}{7} + \frac{- 11}{4} . \]
\[\text{L.C.M. of thedenominators 7 and 4 is 28.}\]
\[\text{Now, we will express}\frac{24}{7}\text{and}\frac{- 11}{4} \text{in the form in which they take the denominator 28.}\]
\[\frac{24 \times 4}{7 \times 4} = \frac{96}{28}\]
\[\frac{- 11 \times 7}{4 \times 7} = \frac{- 77}{28}\]
\[ \therefore \frac{24}{7} + \frac{- 11}{4} = \frac{96}{28} + \frac{- 77}{28}\]
\[ = \frac{96 - 77}{28}\]
\[ = \frac{19}{28}\]