Question #49678

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Question #49678

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Answer 1 · 2017-12-09T02:19:30

See a solution process below:

Explanation:

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

So, first we can add the $5 hours$ $5" hours"$ to 7:00 PM giving:

$7 : 00 PM + 5 = 12 : 00 AM$ $7:00" PM" + 5 = 12:00" AM"$

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

$\frac{1 hour}{4} = \frac{60}{4} minutes$ $(1" hour")/color(red)(4) = 60/color(red)(4)" minutes"$

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

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

$12 : 00 AM + 15 minutes = 12 : 15 AM$ $12:00" AM" + 15" minutes" = 12:15" AM"$

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Question #49678

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