Question

How do you convert $88\% $ to a fraction ?

Answer 1

Hint:
Percentage simply means out of one hundred. First write down the percent divided by hundred that is $\dfrac{{percent}}{{100}}$. After dividing the percentage into fraction, reduce the fraction into simplified form.

Complete step by step solution:
In this question firstly we write percent divided by hundred that is
$ \Rightarrow \dfrac{{88}}{{100}}$
You can see the percent symbol “ % “ is removed.
To remove that symbol only means divide the percentage number by hundred
Moving further , simplifying or reducing the fraction to lowest terms .
Reducing the fraction into the lowest term means to break that number in prime factors.
Here we can write 88 and 100 in prime factors or try to divide both numerator and denominator till the fraction is in its lowest terms.
Now, here we will break 88 and 100 in prime factors.
$ \Rightarrow \dfrac{{88}}{{100}} = \dfrac{{2 \times 2 \times 2 \times 11}}{{2 \times 5 \times 5}}$
Cross the common factors. Here common factor is one time 2.
$ \Rightarrow \dfrac{{2 \times 2 \times 11}}{{5 \times 5}}$
As you can see it cannot be further reduced, so multiply and write the final answer.
$ \Rightarrow \dfrac{{44}}{{25}}$

Thus, $88\% $ is converted into fraction $\dfrac{{44}}{{25}}$.

Additional information :
Reducing fraction involves division. You can reduce the fractions in two ways .
1) First method is by breaking numerator and denominator in prime factors , then crossing out the common factors.
2) Second way is to divide both numerator and denominator by greatest common factor ( GCF ).

Note:
1) Reducing the fraction into lowest terms means there is no number other than 1 which can be divided into both numerator and denominator.
2) It is important to reduce the fraction in lowest terms or else your answer will be incomplete .