Question

Convert the following decimals to fractions. 1) 2.5 and 3) 1.0 ?

Answer 1

Hint: This question can be solved by first multiplying both the numerator and the denominator with the number if tens equal to the number of digits after the decimal. Then you can get the fraction. But you must also check if there is any simplification possible. Then you have to simplify the following fraction, and write it as the final answer.

Complete step-by-step solution:
This question can be solved by first multiplying both the numerator and the denominator with 10. Then you can get the fraction. But you must also check if there is any simplification possible
First thing we need to do is multiply both numerator and denominator with 10. As here, we only have one digit after the decimal.
$ \Rightarrow 2.5 = 2.5 \times \dfrac{10}{10}$
$ \Rightarrow 2.5 = \dfrac{25}{10}$
Therefore, we get the fraction as $\dfrac{25}{10}$. You can leave it like this, or you can also simplify it, since both the numerator and the denominator are the multiples of 5. Therefore, after simplifying we get:
$ \Rightarrow 2.5 = \dfrac{25}{10} = \dfrac{5}{2}$
Similarly for 1.0, we can do it as,
Since, even 1.0 has only 1 digit after the decimal point, you have to multiply both the numerator and the denominator with 10.
$ \Rightarrow 1.0 = 1.0 \times \dfrac{10}{10}$
$ \Rightarrow \dfrac{10}{10} = \dfrac{1}{1}$
Therefore, the fraction representation of 2.5 is $\dfrac{25}{10}$ and 1.0 is $\dfrac{1}{1}$.

Note: These questions are very simple to do. You only have to remember to multiply the number of tens, which are equal to the number of digits after the decimal point. You have to be careful while multiplying and the simplification process.