Question

Write the ratio statement as a fraction and reduce to lowest terms if possible.20 pounds to 36 ouncesThe ratio statement written as a fraction is

Answer 1

First, we need to convert 20 pounds into ounces. 1 pound is equivalent to 16 ounces. Using this conversion factor, we get:

`20\text{ pounds =}20\text{ pounds }\cdot\frac{16\text{ ounces}}{1\text{ pound}}=320\text{ ounces}`

The ratio as a fraction is expressed as follows:

`\begin{gathered} \frac{\text{ number of pounds}}{\text{ number of ounces}}=\frac{20\text{ pounds}}{36\text{ ounces}}= \\ \text{Substituting with 20 pounds = 320 ounces} \\ =\frac{320\text{ ounces}}{36\text{ ounces}}= \\ \text{ Cancelling the units and dividing numerator and denominator by 4:} \\ =((320)/(4))/((36)/(4))= \\ =(80)/(9) \end{gathered}`

The ratio statement written as a fraction is 80/9