Question

Please help me ASAP

Answer 1

`\displaystyle\frac{100 \hspace{4}inches}{1 \hspace{4}minute}*\frac{1 \hspace{4}foot}{12 \hspace{4}inches}`

Explanation:

Hi there!

100 inches per minute

⇒
`\displaystyle\frac{100 \hspace{4}inches}{1 \hspace{4}minute}`

To change this into feet per minute, we need to cancel out the "inches" unit and replace it with feet. The "minute" unit stays the same.

To cancel inches out and leave feet remaining, we must multiply
`\displaystyle\frac{100 \hspace{4}inches}{1 \hspace{4}minute}` by a fraction that has inches in the denominator and feet in the numerator:

`\displaystyle\frac{100 \hspace{4}inches}{1 \hspace{4}minute}*\frac{1 \hspace{4}foot}{12 \hspace{4}inches}`

Notice how inches cancels out:

`\displaystyle\frac{100 \hspace{4}}{1 \hspace{4}minute}*\frac{1 \hspace{4}foot}{12 \hspace{4}}\\\\= \displaystyle \frac{100 \hspace{4} feet }{12 \hspace{4} minutes} \\\\= \displaystyle \frac{25 \hspace{4} feet }{3 \hspace{4} minutes}`

I hope this helps!