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

Answers (1)

Time taken by Michal in coloring =  \frac{7}{12}  hours.

Time taken by Vaibhav in coloring = \frac{3}{4}  hours.

The LCM of 12 and 4 is 12. So making the denominator of both fraction equal to 12, we get,

\frac{7}{12}\:\:and\:\:\frac{3}{4}\times\frac{3}{3}

\Rightarrow \frac{7}{12}\:\:and\:\:\frac{9}{12}

As 

\frac{9}{12}>\frac{7}{12}

For calculating by how much, we do Subtraction

\frac{9}{12}-\frac{7}{12}=\frac{9-7}{12}=\frac{2}{12}=\frac{1}{6}

Vaibhav worked longer by the fraction \frac{1}{6}.

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