How do you write #20/7# as a mixed number?

1 Answer
Jun 25, 2016

#20/7 = 2 6/7#

Explanation:

The fraction can be read in two different ways..
Either #20÷7#, or as 20 sevenths.

In a whole number, there are 4 quarters, or 3 thirds or 7 seventh and so on.

Therefore if we regard the fraction as being 20 sevenths, we can ask how many groups of 7 can we make with 20?

#7+7 = 14#

If we had 21 sevenths, we could make 3 whole numbers.

#21/7 = 3#

However we do not have quite enough to make 3 whole number, but more than 2.

20 divided by 7 is 2 with 6 sevenths remaining.

#20/7 = 2 6/7#