Question

Evaluate $1.25$ is what fraction of $12.50$ ?

Answer 1

Hint: In the above question we have to evaluate the given expression. We can see that we have the given values in decimal and we have to find the answer in a fraction. So we will first try to simplify the values and write them in fractions i.e. numerator and denominator. Then we will try to reduce the fraction to its lowest. It will give us our answer.

Complete step by step solution:
Here we have been given : $1.25$ is a fraction of $12.50$ .
The above expression can also be mathematically expressed in the form of a fraction :
$\dfrac{{1.25}}{{12.50}}$
We can see that we have the decimal point after two digits in both numerator and numerator of the fraction. We will divide both the numerator and denominator with $100$ to remove the decimal.
So we can write the expression as:
$ = \dfrac{{\dfrac{{125}}{{100}}}}{{\dfrac{{1250}}{{100}}}}$
For easy understanding the expression can also be written as:
$ = \dfrac{{125}}{{100}} \times \dfrac{{100}}{{1250}}$
It gives us value
$ = \dfrac{{125}}{{1250}}$
Now we will reduce the fraction to its lowest form and it can be written as:
 $ = \dfrac{{125}}{{10 \times 125}}$
It gives us value $\dfrac{1}{{10}}$
Hence the required answer is that $1.25$ is $\dfrac{1}{{10}}th$ of $12.50$

Note: We should note that decimals are the set of numbers that are written together with a dot in between the numbers which is called the decimal point. The symbolic representation of the decimal point is $(.)$ . And the fraction is a numerical value that represents the value as a part of the whole. We can also say that a fraction represents equal parts of a collection. It has two parts called the numerator at the top and the denominator, below the fraction.