Question

nate's quiche is cut into 7 equal parts. only 3/7 is left. he wants to give 3 of his friends equal part. write 3/7 as the sum of unit fractions.

Answer 1

The problem is to write 3/7 as the sum of equal parts, that is a sum of fractions:
1/7 + 1/7 + 1/7 = 3/7
note that we are only adding the numerator, the upper part.

Answer 2

`(1)/(7)+(1)/(7)+(1)/(7)`

Explanation:

We have been given that Nate's quiche is cut into 7 equal parts. only 3/7 is left. He wants to give 3 of his friends equal part.

Let us divide
`(3)/(7)` by 3 to find the part given to each of Nate's friends.

`(3)/(7)/ 3\\\Rightarrow(3)/(7)/(3)/(1)\\\Rightarrow(3)/(7)*(1)/(3)\\\Rightarrow(1)/(7)`

Since Nate gave each of his friend
`(1)/(7)` of quiche, so we can write
`(3)/(7)` as the sum of unit fractions will be:

`(3)/(7)=(1)/(7)+(1)/(7)+(1)/(7)`