Question

How do you convert \[0.037\] into a fraction and percent?

Answer 1

Hint: In the given question, we have been asked to convert a decimal number to a fraction as well as a percent. First, we are going to convert the given decimal to a fraction by counting the number of digits after the decimal point; let it be ‘c’. Then we take the complete number without the decimal point as the numerator and make the denominator equal to \[1\] followed by \[c\] zeroes, or \[{10^c}\]. Then, we convert the decimal to a percent. To do that, we simply multiply the whole number by \[100\] and attach a percent sign at the end of the obtained number.

Complete step by step answer:
The given number is \[0.037\].
First, we convert it to a fraction.
Number of digits after the decimal point, \[c = 3\].
Now, our denominator is, \[d = {10^c} = {10^3} = 1000\].
Numerator is the complete number without the decimal point, \[n = 37\].
So, the required fraction is \[f = \dfrac{n}{d} = \dfrac{{37}}{{1000}}\]
Now, to convert to percent, we just multiply by \[100\], and we get,
\[0.037 = \left( {0.037 \times 100} \right)\% \]

Hence, \[0.037 = 3.7\% \]

Note: In this question, we had to convert a decimal to fraction and percent. Sometimes, some students make the mistake during the conversion; when these students convert the decimal to fraction, they forget to change the fraction to the lowest term, which would ultimately result in deduction of some marks. While some students make mistakes while converting to percent – they forget to add a percent sign, which again would lead to the deduction in marks.