Question

How do you write $$0.012$$ as a fraction?

Answer 1

Hint: In the given question, we have been asked to convert a decimal number as a fraction. To do that, we first count the number of digits after the decimal point; let it be ‘c’. Then we just remove the dot and treat the new (dot-free) number as the numerator. The denominator is equal to the digit $$1$$ followed by ‘c’ zeroes. Then we just reduce the obtained fraction into the lowest form if possible.

Complete step by step answer:
Given a decimal number, $$n=0.012$$.
Number of digits after decimal, $$c=3$$.
So, numerator $$=12$$ and denominator $$={10}^3=1000$$
Hence, $$0.012={\displaystyle \frac{12}{1000}}$$
Now we convert to the lowest form by dividing by the number which is a common divisor to both the numerator and denominator – here it is $$4$$.
Thus, $$0.012={\displaystyle \frac{12}{1000}}={\displaystyle \frac{3}{250}}$$

Note: In this question, we had to convert a decimal to fraction. 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. So, care must be taken for this point.