Question

Express 1hour 5minutes:45minutes in simplest form

Answer 1

Heya !!

First of All, Some important things to be noted:

1. 1 hour = 60 min.
2. 1 min = 1/60 hrs.
3. 1 min = 60 sec.
4. 1 hrs = 3600 sec.

#1. Now, Let's solve this question in terms of hours first.

1 hr 5 min = 1 hr + 5/60 hr (∵ 1 min = 1/60 hr) = 1 hr + 1/12 hr = (12+1)/(12) = 13/12 hrs.

45 min = 45/60 hr (∵ 1 min = 1/60 hr) = 9/12 hr = 3/4 hrs.

Ratio: 1 hr 5 min : 45 min = 13/12 hr : 3/4 hr = (13/12)/(3/4) = 13/12 * 4/3 = 13/9 or 13:9.

#2. In terms of minutes.

1 hr 5 min = 60 min + 5 min (∵ 1 hr = 60 min) = 65 min.

45 min = 45 min.

Ratio: 1 hr 5 min : 45 min = 65 min : 45 min = 13/9 or 13:9.

#3. In terms of seconds.

1 hr 5 min = 3600 s + (5*60) s (∵ 1 hr = 3600s and 1 min = 60s) = 3600s + 300s = 3900 s.

45 min = 45*60 (because 1 min = 60 s) = 2700s.

Ratio: 1 hr 5 min : 45 min = 3900 s : 2700 s = 13:9.

Hope it helps !!

Answer 2

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