Question

Austin wrote 3 1 3 as the sum of fractions. What fractions might Austin have used?

Answer 1

See Explanation

Explanation:

Given

`Sum = 3(1)/(3)`

Required

Determine the fraction used

Since options, were not given. I'll answer on a general term

Assume, Austin used 2 fractions (a and b)

Such that:

`a + b = 3(1)/(3)`

Also:

Assume that:

`a = (2)/(3)`

Note that this could be any fraction, but I chose to use 2/

Make b the subject in
`a + b = 3(1)/(3)`

`b = 3(1)/(3) - a`

`b = 3(1)/(3) - (2)/(3)`

`b = (10)/(3) - (2)/(3)`

Take LCM

`b = (10-2)/(3)`

`b = (8)/(3)`

`b = 2(2)/(3)`

So, the fractions are:

`a = (2)/(3)` and
`b = 2(2)/(3)`