Question

Write an expression that is equivalent to three over five (3y + 15). (4 points)

Answer 1

Answer:

The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C

Step-by-step explanation:

Let us solve the question

∵ Three over five means $\frac{3}{5}$

∴ Three over five (3y + 15) = $\frac{3}{5}$ (3y + 15)

→ By using the distributive property, multiply each term inside the

   bracket by three over 5

∴  $\frac{3}{5}$ (3y + 15) =  $\frac{3}{5}$ (3y) + $\frac{3}{5}$ (15)

→ Multiply three over five by 3y

∵  $\frac{3}{5}$ (3y) =  $\frac{3(3)}{5}$ (y) =  $\frac{9}{5}$ y

→ Multiply three over five by 15

∵  $\frac{3}{5}$ (15) =  $\frac{3(15)}{5}$ =  $\frac{45}{5}$ = 9

∴  $\frac{3}{5}$ (3y) + $\frac{3}{5}$ (15) = $\frac{9}{5}$ y + 9

∴ $\frac{3}{5}$ (3y + 15) =   $\frac{9}{5}$ y + 9

∴ The equivalent to three over five (3y + 15) is  $\frac{9}{5}$ y + 9