Question

0/1 Roy is going to increase the size of his patio to make room for a new BBQ grill. The ratio of the area of the old patio to the area of the new patio is 2 2 \frac{1}{4} 4 1 ​ : 6 6 \frac{3}{4} 4 3 ​ . Convert this ratio to a unit rate

Answer 1

Given:

Ratio is
`2(1)/(4):6(3)/(4)`

To find:

Convert this ratio to a unit rate.

Solution:

We have,

`2(1)/(4):6(3)/(4)=(2* 4+1)/(4):(6* 4+3)/(4)`

`2(1)/(4):6(3)/(4)=(8+1)/(4):(24+3)/(4)`

`2(1)/(4):6(3)/(4)=(9)/(4):(27)/(4)`

`2(1)/(4):6(3)/(4)=((9)/(4))/((27)/(4))`

`2(1)/(4):6(3)/(4)=(9)/(27)`

`2(1)/(4):6(3)/(4)=(1)/(3)`

`2(1)/(4):6(3)/(4)=0.333...`

`2(1)/(4):6(3)/(4)\approx 0.33`

Therefore, the unit rate is about 0.33.