Question

Drag the tiles to the correct boxes to complete the pairs.

Match the pairs of equivalent expression

Answer 1

`\boxed{(7)/(5)y} \longrightarrow \boxed{y+(2)/(5)y}`

`\boxed{0.68y} \longrightarrow \boxed{y-0.32y}`

`\boxed{(3)/(5)y} \longrightarrow \boxed{y-(2)/(5)y}`

`\boxed{1.32y} \longrightarrow \boxed{y+0.32y}`

Explanation:

`\begin{aligned}\implies y-0.32y & = 1y-0.32y\\& = (1-0.32)y\\& = 0.68y\end{aligned}`

`\begin{aligned}\implies y+0.32y & = 1y+0.32y\\& = (1+0.32)y\\& = 1.32y\end{aligned}`

`\begin{aligned}\implies y+(2)/(5)y & = 1y+(2)/(5)y\\& = (5)/(5)y+(2)/(5)y\\& = \left((5)/(5)+(2)/(5)\right)y\\& = \left((5+2)/(5)\right)y\\& = (7)/(5)y\\\end{aligned}`

`\begin{aligned}\implies y-(2)/(5)y & = 1y-(2)/(5)y\\& = (5)/(5)y-(2)/(5)y\\& = \left((5)/(5)-(2)/(5)\right)y\\& = \left((5-2)/(5)\right)y\\& = (3)/(5)y\\\end{aligned}`