Question

How do you convert $$86\mathrm{\%}$$ to a fraction in simplest form?

Answer 1

Hint: Here we will write the number written with the percent sign as the numerator and we will write the denominator as 100. Then we will further reduce the fraction to get the fraction in the simplest form. To write the fraction in the simplest form means to eliminate the common factors in the numerator and the denominator of the fraction.

Complete step by step solution:
Here we need to convert the given percent of the number in the fractional form i.e. in the simplest form of a fraction. Here we need to convert $$86\mathrm{\%}$$ to a fraction in the simplest form.
For that, we will write the number written with the percent sign as the numerator and we will write the denominator as 100.
We can write it as:-
$$86\mathrm{\%}={\displaystyle \frac{86}{100}}$$
Now, we will further reduce the fraction to get the fraction in the simplest form. To write the fraction in the simplest form means to eliminate the common factors in the numerator and the denominator of the fraction.
On reducing the fraction, we get
$$\Rightarrow 86\mathrm{\%}={\displaystyle \frac{43}{50}}$$

Hence, the required simplified fractional form of $$86\mathrm{\%}$$ is equal to $${\displaystyle \frac{43}{50}}$$.

Note:
The percentage is defined as a ratio representing a fraction of 100. Percentage and fractions are generally used for comparing different quantities. The fraction is defined as the number of equal parts or in other words parts of a whole quantity. We know that percent represents the number percent or the number per hundred and is represented by the symbol $$\mathrm{\%}$$. If we have to find the percent of a number then we divide the number by the total number and then multiply the result by 100. Percentages can be represented in the decimal form or in the fractional form. The percentage has no dimensions and its formula can be modified according to the value which has to be found out.