question_answer 8)

Michael finished colouring a picture in ?\[\frac{7}{12}\] hour. Vaibhau finished colouring the same picture in \[\frac{3}{4}\]hour. Who worked longer? By what fraction was it longer?

Answer:

                \[\frac{3}{4}=\frac{3\times 3}{4\times 3}=\frac{9}{12}\] \[\because \]     \[9>7\] \[\therefore \]  \[\frac{9}{12}>\frac{7}{12}\] \[\therefore \] Vaibhav worked longer by fraction                 \[\frac{9}{12}-\frac{7}{12}=\frac{9-7}{12}=\frac{2}{12}=\frac{2\div 2}{12\div 2}=\frac{1}{6}\] hour.