What is the ratio of 5 hours to 14 hours 10 minutes?

2 Answers
Nov 28, 2016

6/17

Explanation:

14 hours and 10 minutes is the same as 14 1/6 hours, which is the same as (14xx6+1)6=85/6 hours.

This means the ratio is:
5/(85/6)

=5xx6/85

=cancel(5)^1xx6/(cancel(85)^17)

=6/17

Nov 28, 2016

("5 hours")/("14 hours 10 minutes") =6/17

Explanation:

To compare these values directly they need to be in the same units of measurement of time.

Notice that 10 minutes will divide exactly into 1 hour (60 minutes). So I choose the unit of measurement to be 10 minutes.

1 hour is 60 minutes which is 6 lots of 10 minutes.

So I hour is the a count of 6 units

color(brown)("Count of 10 minutes in 14 hours 10 minutes")
14 hours to count of 10 minutes -> 14xx6 = 84
Plus the 10 minutes from 14 hrs 10 min " "color(white)(..)->ul(1)
" " 85

color(brown)("Count of 10 minutes in 5 hours")
5 hours to count of 10 minutes " "-> 5xx6 = 30

color(brown)("Determine the ratio")

("5 hours")/("14 hours 10 minutes") =30/85

Divide top and bottom by 5

(30-:5)/(85-:5) = 6/17