Question

What is $12.875$ as a fraction?

Answer 1

Hint: Here in this question, we have to convert the given number $12.875$ into a fraction in the form $\dfrac{p}{q}$ . The given number is in the form of a decimal. To convert the decimal number to the fraction we multiply the given number by the multiples of $10$.

Complete step by step answer:
The given number $12.875$ is of the form decimal. Now we have to convert this decimal number to a fraction. If we see the decimal number, after the decimal point there are $3$ numbers, so we have to multiply and divide the decimal by $1000$.So, the number given to us is $12.875$.

Now, there are three numbers after the decimal point. So, for the conversion of decimal to fraction we multiply and divide the number by $1000$. So, we have,
$ \Rightarrow 12.875 \times \dfrac{{1000}}{{1000}}$
By multiplying in the numerator we get,
$ \Rightarrow \dfrac{{12875}}{{1000}}$
Now, there is a common factor in numerator and denominator. Hence, cancelling the common factors in numerator and denominator, we get,
$ \Rightarrow \dfrac{{515}}{4}$

Hence, the decimal number $12.875$ in the form $\dfrac{p}{q}$ is $\dfrac{{515}}{4}$.

Note: In the given question, we divided and multiplied the decimal number by $1000$ as there were three decimal places after the decimal point. If there would have been only one decimal place, we would have multiplied the decimal number by ten. The final fractional answer should be represented in the simplest form by cancelling common factors.