Question

How do you convert 78% as a fraction?

Answer 1

Hint: We know that percent is 100 means that the given number is calculated against 100 to be in percentage. In the given question we were asked to convert 78% as a fraction. A fraction can also be converted to decimal and vice-versa. Let us see how we can solve this problem.

Complete step by step solution:
In the above question, we were asked to convert 78% as a fraction. We know that percent means out of hundred.
Thus, 78% = $\dfrac{{78}}{{100}}$
 $= \dfrac{{39}}{{50}}$
A fraction is said to be in simplest form when no other factor except 1 divides both numerator and denominator. Here numerator and denominator both have 2 as a factor. But $\dfrac{{39}}{{50}}$ has no factor.

Therefore, 78% can be written in fraction as $\dfrac{{39}}{{50}}$.

Additional Information:
In the above solution we get a proper fraction. But there are various kinds of the fraction. Such as like fraction, unlike fraction, improper fraction, mixed fraction and equivalent fraction.

Note:
In this solution, we converted 78% into a proper fraction. We can further convert this fraction into a decimal $\dfrac{{78}}{{100}} = 0.78$ . And all of these values 78%, 0.78 and $\dfrac{{78}}{{100}}$ are the same. In a whole number, a fractional part can be denoted by the numbers after the decimal point.