Question

How do you change $7 \dfrac{1}{7} \%$ to decimal?

Answer 1

Hint: In the above problem, we could easily identify that it is a mixed fraction. So first we have to solve the mixed fraction. Remember that we find a percentage of 100. So let’s see how we can solve this problem.

Complete step by step solution:
As for the above problem we have to solve the mixed fraction so we have to convert it to an improper fraction, $7\dfrac{1}{7}=\dfrac{50}{7}$ .
In several cases, if the denominator is a factor of 10, 100, or 1000 then we can calculate the decimal easily. But in this case, the denominator is 7. So let’s see how we can solve $\dfrac{50}{7}$ .
 $= \dfrac{{50.00000000000}}{7}$
After dividing this we get,
 $=7.14285$
We will be considering till 2 decimals, we get,
= 7.14
So, to change 7 1/7% to decimal is 7.14

Additional Information:
In the above question, we have to solve a mixed fraction. There are other forms of a fraction such as proper fraction, improper fraction, like a fraction, unlike fraction, and equivalent fraction.

Note: For the above solution, we get a recurring decimal. So we have rounded the decimal to a suitable level of accuracy. We can choose to consider three-digit after decimal point (7.142) or two-digit after decimal point (7.14). Here we have considered two digits after the decimal point because it is accurate and also easy to write or remember.