# Question 49678

Dec 9, 2017

See a solution process below:

#### Explanation:

First, we can write $5 \frac{1}{4} \text{ hours}$ as $\left(5 \text{ hours" + 1/4" hours}\right)$

So, first we can add the $5 \text{ hours}$ to 7:00 PM giving:

$7 : 00 \text{ PM" + 5 = 12:00" AM}$

If $1 \text{ hour" = 60" minutes}$ then we can divide each side of the equation by $\textcolor{red}{4}$ to find out how many minutes in a $\frac{1}{4}$ of an hour:

(1" hour")/color(red)(4) = 60/color(red)(4)" minutes"#

$\frac{1}{4} \text{ hour" = 15" minutes}$

We can now add the 15 minutes to the result we had from the previous step giving:

$12 : 00 \text{ AM" + 15" minutes" = 12:15" AM}$