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# Michael finished colouring a picture in 7/12 hour. Vaibhav finished colouring the same picture in 3/4 hour. Who worked longer? By what fraction was it longer?

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?

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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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