Question

How do you convert decimals and whole numbers into fractions?

Answer 1

The given question requires us to convert a number in decimal form into fraction. Whole numbers 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:
We have to convert a decimal and a whole number into fraction form.
${\text{Fraction}} = \left( {\dfrac{{{\text{Numerator}}}}{{{\text{Denominator}}}}} \right)$
Now, to convert a decimal expression into fraction form first, we will find the decimal places.
So, if the decimal expression has 2 decimal places, then there are two digits after the decimal point. This concludes that we will multiply and divide this number by a second power of ten.
$\Rightarrow x \times \dfrac{{{{10}^2}}}{{{{10}^2}}}$
Now we will write the power in number form. As we know this second power of 10 is 100.
$\Rightarrow x \times \dfrac{{100}}{{100}}$
Now, we multiply the decimal x by the 100 in the numerator and keep 100 of the denominator as it is.
Now after multiplying by 100 it will remove the decimal two places to right.
If this is already in simplest form, then we will not simplify this anymore.

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 ${\text{Fraction}} = \left( {\dfrac{{{\text{Numerator}}}}{{{\text{Denominator}}}}} \right)$ . Whenever we convert any number in fractions, do simplify them. So, the fraction should have only 1 as a common factor between numerator and denominator.