Question

Convert the following ratio to percentage
$4:5$

Answer 1

Hint: Here, we will first rewrite the given ratio into normal fraction form and then we will multiply that fraction by 100. Then we will solve it further to find the required percentage form of this ratio. We will apply a percentage sign after the number obtained to show the required answer. A percentage is defined as a number that can be expressed as a fraction of 100.

Complete step-by-step answer:
Given ratio is $4:5$
First, we will convert this ratio to a fraction.
Hence, we get,
$4:5 = \dfrac{4}{5}$
Clearly, we cannot simplify this fraction further as it is already in its simplest form.
Now, in order to convert a fraction to a percentage, we should know that we multiply the given fraction by 100 to get the percentage value.
Hence, we will multiply the fractional form of the given ratio by 100.
Thus, we get,
$\dfrac{4}{5} \times 100 = 4 \times 20 = 80\% $
We will add a percentage sign after 80 to represent that this is a percentage number.

Therefore, the given ratio $4:5$ can be written in percentage form as $80\% $.
Hence, this is the required answer.

Note:
In mathematics, a ratio indicates the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. For example, if there are eight apples and six bananas in a bowl of fruit, then the ratio of apples to bananas is eight is to six (i.e. $8:6$, which is equivalent to the ratio $4:3$). When a ratio is written in fractional form, it is further simplified as an improper fraction and we do not change it to mixed fraction.