Saransh spends $10 h o u r s$ on his study. He spends $2 h o u r s$ of them on Mathematics. What fraction of his study hours is devoted to Mathematics?

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Solution

Step-1: Find the fraction of study hours devoted to Mathematics:
The total number of hours spent on study $= 10 h r s$
The total number of hours spent studying Mathematics $= 2 h r s$
The fraction of study hours devoted to Mathematics $=$ $\frac{(t h e n u m b e r o f h o u r s s p e n t o n M a t h e m a t i c s)}{(t h e t o t a l n u m b e r o f h o u r s s p e n t s t u d y i n g)}$
$=$ $\frac{2}{10}$
Step-2: Simplify the fraction:
Lets simplify $\frac{2}{10}$ .
The highest common factor of $2$ and $10$ is $2$ .
Dividing both the numerator and denominator by $2$ :
$\frac{2 \div 2}{10 \div 2} = \frac{1}{5}$
Hence, the fraction of Saransh's study hours devoted to Mathematics is $\frac{2}{10}$ or $\frac{1}{5}$ .

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