question_answer

                  

Find:

(a) \[\frac{5}{6}-\frac{7}{3}\]

(b) \[3\frac{1}{5}-\left( -\frac{2}{3} \right)\]

Answer:

(a)  \[\frac{5}{6}-\frac{7}{3}=\frac{5}{6}-\frac{7}{3}\times \frac{2}{2}\]

\[=\frac{5}{6}-\frac{14}{6}\]

\[=\frac{6-14}{6}\]

\[=\frac{-9}{6}\]

\[-\frac{3}{2}\]

(b)  \[3\frac{1}{5}-\left( -\frac{2}{3} \right)=\frac{16}{5}+\frac{2}{3}\]

\[=\frac{16\times 6}{5\times 3}+\frac{2\times 5}{3\times 5}\]

=\[\frac{48}{15}+\frac{10}{15}\]

\[=\frac{58}{15}\].