Question

David and Patti each decomposed 138. David wrote 1 + 1/8 + 3/8. Patti wrote 4/8+2/8+5/8.

Who Is Correct?
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Answer 1

Both are wrong.

Explanation:

We have that:

Both decomposed the fraction
`(13)/(8)` into a sum of fractions. Whoever's decomposition sum has a value of
`(13)/(8)` is correct.

David:

`1 + (1)/(8) + (3)/(8) = (8)/(8) + (1)/(8) + (3)/(8) = (8+1+3)/(8) = (12)/(8)`

`(12)/(8) \\eq (13)/(8)`, which means that David is wrong.

Patti

`(4)/(8) + (2)/(8) + (5)/(8) = (4+2+5)/(8) = (11)/(8)`

`(11)/(8) \\eq (13)/(8)`, which means that Patti is wrong.

So the answer is that both are wrong.