Question

Write the following expression using the fewest possible terms:

( 5 + 3/8 y) + ( 1/4y - 2)

(1 point)
Responses

1/8 y − 3



1/8 y + 3

5/8 y − 3

5/8 y + 3

Answer 1

To simplify the expression \((5 + \frac{3}{8}y) + (\frac{1}{4}y - 2)\), we can first rearrange and combine like terms:

1. Combine the constant terms: \(5 - 2 = 3\).
2. Combine the \(y\) terms:
- \(\frac{3}{8}y + \frac{1}{4}y\)
- Convert \(\frac{1}{4}\) to eighths: \(\frac{1}{4} = \frac{2}{8}\)
- Now add: \(\frac{3}{8}y + \frac{2}{8}y = \frac{5}{8}y\)

Putting it all together, we get:

\[
\frac{5}{8}y + 3
\]

Therefore, the expression using the fewest possible terms is:

**5/8 y + 3**