Question

How do you convert $125\% $ to a fraction in lowest terms?

Answer 1

Hint:
Here in this question we have to convert $125\% $ to a fraction in lowest terms. So as we know that the percent is a value that is given as a fraction out of $100$ . So by using this concept we will convert the percentage into a fraction.

Complete Step by Step Solution:
we have the value of percentage given as $125\% $.
So converting this percentage into the fraction, we will remove the percentage. And as we know the percent is a value that is given as a fraction out of $100$.
Therefore by using the above statement, we can write $125\% $ as,
$ \Rightarrow 125\% = \dfrac{{125}}{{100}}$
Now we have to make the above fraction into the simplest form or we can say the lowest form, so for this, we will divide the numerator and the denominator by the HCF of these two numbers.
And as we know that the HCF of these two numbers will be equal to $25$ . Hence, on substituting the number and doing the division, we get
$ \Rightarrow 125\% = \dfrac{{125 \div 25}}{{100 \div 25}}$
And on solving the above equation, we will get the equation as
$ \Rightarrow 125\% = \dfrac{5}{4}$
Hence, the above fraction will be the lowest fraction for the given percentage value.

Therefore, $125\% $ to a fraction in lowest terms will be equal to $\dfrac{5}{4}$.

Note:
There is also another method through which we can convert it. And for this, we need to split the percentage into the known values, like in this question we will have
$ \Rightarrow 125\% = 100\% + 25\% $
And for solving the above equation we should know $25\% = \dfrac{1}{4}$ and $100\% = \dfrac{4}{4}$
Now on adding both the percentage value, we will get the equation as
$ \Rightarrow 125\% = \dfrac{5}{4}$
So, in this way also we can solve it, but we should have to know some common values of percentages. And also in this, we don’t need to make the fraction into the lowest terms.