Question

What is 0.03 as a fraction?

Answer 1

Hint: The given number is in decimal form. This form can be written in fraction form as well. This is done by multiplying and dividing the number by 10 or powers of 10. This is decided by the number of decimal places. Converting into fraction will remove the decimal places and the number is written in the form of numerator and denominator.

Complete step by step solution:
Given that 0.03 is a number. We have to convert this in fraction form.
\[{\text{fraction}} = \dfrac{{{\text{numerator}}}}{{{\text{denominator}}}}{\text{ = }}\dfrac{{\text{N}}}{{\text{D}}}\]
Now to convert the given number into fraction form first we will find the decimal places.
So 0.03 has 2 decimal places because there are two digits after the decimal point. This concludes that we will multiply and divide this number by a second power of ten.
\[ = 0.03 \times \dfrac{{{{10}^2}}}{{{{10}^2}}}\]
Now we will write the power in number form. As we know this second power of 10 is 100.
\[ = 0.03 \times \dfrac{{100}}{{100}}\]
Now multiply 0.03 by the 100 in the numerator and keep 100 of the denominator as it is.
\[ = \dfrac{{0.03 \times 100}}{{100}}\]
Now after multiplying by 100 it will remove the decimal two places to right.
\[ = \dfrac{3}{{100}}\]
This is in the simplest form of the given decimal.
Therefore, \[ 0.03 = \dfrac{3}{{100}}\].

Note:
Note that fractions and decimals are two different forms of writing or expressing a number. But they are interconvertible. This can be done with the help of powers of 10. But always remember that fractions are in the form of \[\dfrac{{{\text{numerator}}}}{{{\text{denominator}}}}{\text{ = }}\dfrac{{\text{N}}}{{\text{D}}}\]. Whenever we convert any number in fractions to simplify them, that is the fraction should have only 1 as a common factor between numerator and denominator.