contestada

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

Respuesta :

Given:

Ratio is [tex]2\dfrac{1}{4}:6\dfrac{3}{4}[/tex]

To find:

Convert this ratio to a unit rate.

Solution:

We have,

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{2\times 4+1}{4}:\dfrac{6\times 4+3}{4}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{8+1}{4}:\dfrac{24+3}{4}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{9}{4}:\dfrac{27}{4}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{\dfrac{9}{4}}{\dfrac{27}{4}}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{9}{27}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{1}{3}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=0.333...[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}\approx 0.33[/tex]

Therefore, the unit rate is about 0.33.

Otras preguntas