Question

Which expression is equivalent to 7/8 + 3/8x − 1/4y + 3/4y − 1/2?

Answer 1

Answer:

• Option B

Step-by-step Solution:

• 7/8 + 3/8x − 1/4y + 3/4y − 1/2
• => (3x/8) + (-y/4 + 3y/4) + (7/8 - 1/2)
• => (3x/8) + (y/2) + (7/8 - 4/8)
• => (3x/8) + (y/2) + (3/8)
• => 3x/8 + y/2 + 3/8

Hence, Option B is correct.

Answer 2

Answer:

$\frac{3}{8} x+\frac{1}{2} y+\frac{3}{8}$

Step-by-step explanation:

Gather like terms:

$\frac{3}{4}y-\frac{1}{4}y=\frac{2}{4}y=\frac{1}{2}y$

$\frac{7}{8} -\frac{1}{2}=\frac{7}{8} -\frac{4}{8}=\frac{3}{8}$

Therefore, equivalent expression = $\frac{3}{8} x+\frac{1}{2} y+\frac{3}{8}$