Question

Express \[\dfrac{3}{{20}}\] as percent?

Answer 1

Hint: We are given a fraction value and are asked to express it in terms of percent. To do this, first of all we convert the given fraction value into decimal value. Now, we convert the obtained decimal value in terms of percent by multiplying the decimal by \[100\]. In this way we would be able to solve the given question.
Formula used: Let \[a\] be any decimal value, then we express it in percent as \[100a\% \].

Complete step-by-step solution:
Here we are given a fraction value \[\dfrac{3}{{20}}\] and we are required to express this fraction in terms of percentage. We convert a fraction value in percent in two steps. In the first step, we write the given fraction value in terms of decimal. We do this by dividing the numerator by denominator, the quotient being the decimal value as,
\[\dfrac{3}{{20}} = 0.15\]
Now we convert this decimal value in percent value by multiplying it by \[100\]. We do it as follows,
\[ \Rightarrow \dfrac{3}{{20}} = (0.15 \times 100)\% \\
   \Rightarrow \dfrac{3}{{20}} = 15\% \]
Hence we have expressed the given fraction \[\dfrac{3}{{20}}\] in terms of percent value in the above step.
We say that we can write the fraction value \[\dfrac{3}{{20}}\] as \[15\% \].

Note: This to note that by the above result, we mean \[\dfrac{3}{{20}}\] of any value means \[15\% \] of that number. If the denominator of a fraction is \[100\] and the numerator is \[n\], we can simply express it in percent as \[n\% \]. Percent is itself a fraction whose denominator is \[100\]. So \[15\% \] here actually means \[\dfrac{{15}}{{100}}\].