Question

Suransh spends 10 hrs on his study. He spends 2 hrs of them on Mathematics. What fraction of his study is devoted to mathematics?

Answer 1

Hint: Here we have to find the fraction of the study he has devoted to mathematics. For that divide, the number of hours spent on mathematics by the total number of hours he spends on his study. After that cancel out the common factor from the numerator and denominator (if any). The fraction will be the desired output

Complete step-by-step answer:
Given: - Total hours spent on study = 10 hrs.
Time spends on Mathematics = 2 hrs.
Many times, we have to compare two values, we can do this by the method of division or finding out
ratio. A ratio is an expression that is used to compare two similar quantities is termed as a ratio. If a and
b are two different numbers or integers, then the ratio of these two integers can be represented as
$\dfrac{a}{b}$ or $a:b$.
We can say that the comparison of two quantities of the same kind by division is referred to as ratio.
This relation gives us how many times one quantity is equal to the other quantity. In simple words, the
ratio is the number that can be used to express one quantity as a fraction of the other ones.
The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios
to compare two things.
The fraction of his study devoted to mathematics is,
$ \Rightarrow $Ratio $ = \dfrac{2}{{10}}$
Cancel out the common factors,
$ \Rightarrow $Ratio $ = \dfrac{1}{5}$

Hence, the fraction of his study devoted to mathematics is $\dfrac{1}{5}$.

Note: Ratios in Fractional notation are represented in fraction form.
There are various types of ratios in Maths they are as follows:
1) Compounded Ratio
2) Duplicate Ratio
3) Reciprocal Ratio
4) Ratio of equalities
5) Ratio of inequalities