Question

Add and express the sum as a mixed fraction:

\[\frac{101}{6} \text{and} \frac{7}{8}\]

Answer 1

\[\text{We have}\frac{101}{6} + \frac{7}{8} . \]
\[\text{L.C.M. of thedenominators 6 and 8 is 24.}\]
\[\text{Now, we will express}\frac{101}{6}\text{and}\frac{7}{8} \text{in the form in which they take the denominator 24.}\]
\[\frac{101 \times 4}{6 \times 4} = \frac{404}{24}\]
\[\frac{7 \times 3}{8 \times 3} = \frac{21}{24}\]
\[ \therefore \frac{101}{6} + \frac{7}{8} = \frac{404}{24} + \frac{21}{24}\]
\[ = \frac{404 + 21}{24}\]
\[ = \frac{425}{24}\]
\[ = 17\frac{17}{24}\]