Question

How do you write $\dfrac{{20}}{7}$ as a mixed number?

Answer 1

Hint: In the above question you were asked to write $\dfrac{{20}}{7}$ as a mixed fraction. You can see that it is an improper fraction because its numerator is greater than its denominator. In a mixed fraction, there are two parts: one is the whole number and the other is the fractional part. The denominator is first multiplied with the whole number and then their product is added to the numerator. So let us see how we can solve this problem.

Complete Step by Step Solution:
The given question is to convert $\dfrac{{20}}{7}$ into a mixed fraction. The given fraction can be read as $20 \div 7$ or 20 sevenths. In the whole number, there are 7 sevenths, or 3 thirds or 4 quarters and so on.
In this fraction, 20 sevenths, so we have to check how many groups of 7 can be formed with 20:
7 + 7 = 14, which is only two sevens.
So, 20 divided by 7 is 2 and we still have 6 sevenths remaining which are $2\dfrac{6}{7}$.

Therefore, $\dfrac{{20}}{7}$ is $2\dfrac{6}{7}$ in mixed fraction.

Note:
In the above solution, we considered only two 7 because the addition of three 7 is more than 20. Because of which we only considered two 7 and it gives us the whole number. We can check if our solution is correct or not by multiplying the denominator with the whole number and then their product is added to the numerator. So here we will get $\dfrac{{20}}{7}$.