Question

A mechanic has a length of hose 3 ft long. What is the length after 9in is cut off?The length is _ ft _ in?

Answer 1

`2ft\text{ 3 in}`

Step-by-step explanation

We want to find the length of the hose after 9 inches have been cut off.

First, convert the original length of the hose from feet to inches by multiplying by 12:

`\begin{gathered} 1ft=12in \\ \Rightarrow3ft=3\cdot12in=36in \end{gathered}`

Next, subtract 9 inches from that value:

`\begin{gathered} 36-9 \\ \Rightarrow27in \end{gathered}`

Finally, convert the length to feet by dividing by 12:

`\begin{gathered} (27)/(12)ft \\ \Rightarrow2(3)/(12)ft \\ \Rightarrow2ft3in \end{gathered}`

That is the answer.