Question

Question

Write the following expression using the fewest possible terms:

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

(1 point)
Responses

1/8 y − 3
1/8 y − 3

1/8 y + 3
1/8 y + 3

5/8 y − 3
5/8 y − 3

5/8 y + 3
5/8 y + 3

Answer 1

To simplify the expression \(( 5 + 3/8y) + ( 1/4y - 2)\), we first combine the constant terms and the terms with \(y\).

1. Combine the constants: \(5 - 2 = 3\).
2. Combine the \(y\) terms:
   • We have \(3/8y + 1/4y\).
   • To combine these, we convert \(1/4y\) to eighths: \[ 1/4y = 2/8y \]
   • Now, combine the \(y\) terms: \[ 3/8y + 2/8y = 5/8y \]

Putting it all together, we have: \[ 5 + 3/8y + 1/4y - 2 = 5/8y + 3 \]

Thus, the simplified expression is:

\[ 5/8y + 3 \]

The correct response is:

5/8 y + 3