Question

What is 5 1/4 hours after 7:00 p.m

Answer 1

12:15 or a quarter past 12

Explanation:

Math.

Answer 2

The correct answer is: " 12:15 a.m."

Step-by-step explanation:

1 hour = 60 minutes {"exact equivalent."}

⇒ p.m. = afternoon or evening;

{Note: "p.m." stands for: post meridiem —in Latin terminology.}.

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7 hours + 5 hours = 12 hours; 12 hours +
`(1)/(4)` hours = 12
`(1)/(4)` hours.

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1) 1st hour: 7 pm - 8 pm

2) 2nd hour: 8 pm - 9 pm

3) 3rd hour: 9 pm - 10 pm

4) 4th hour: 10 pm - 11 pm

5) 5th hour: 11 pm - 12 am ;

Note: After 5 [five] hours past 7:00 pm;

The determined time, at this stage of solving this problem, is: 12am ; {commonly known as midnight ; based on the "am/pm" time schedule.

{Note: "a.m." stands for: ante meridiem— in Latin terminology.}

Then: we add: "
`(1)/(4)` " hour to: 12 am.
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`(1)/(4)` hr = 0.25 hr.

{
`((1)/(4) hr )* (60minutes)/(hr) =?` } ;

→ The units of "hr" [for: "hour(s)"]; cancel out ; since: "[ (hr ÷ hr) = 1 ] ".

and we have:
`(1)/(4)* 60= 60/4 =`
`15 min.`

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So: 12am + 15 minutes; which is: 12:15 a.m. → the correct answer.

Hope this is helpful to you!
Best wishes in your academic endeavors!
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