Question

David and patti each decomposed 1 3/8. David wrote 1+ 1/8 + 3/8. Patti wrote 4/8 + 2/8 + 5/8. Who is correct? Explain your reasoning.

Answer 1

Option B is correct.

Only Patti is correct

(4/8) + (2/8) + (5/8) = (11/8) = 1⅜

David is wrong,

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

Step-by-step explanation

To answer this, we need to first express 1⅜ as a mixed fraction

1⅜ = (11/8)

So, we will add what each of these two guys have decomposed

For David,

1 + ⅛ + ⅜ = (8/8) + (1/8) + (3/8) = (8 + 1 + 3)/8 = (12/8)

(12/8) ≠ (11/8)

So, it is clear that David is not correct.

For Patti,

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

So. we can see that Patti is correct.

Hope this Helps!!!