Sleep and fraction

by Susie
(morehead,ky)

If I live to be 80 years old and sleep 8 hours a day, How many years have I slept?

Solution

A day has 24 hours

24 = 8 + 8 + 8

So you spent 1 / 3 of your time sleeping.

You can get the same answer if you do 8 / 24

8 / 24 = (8 ÷ 8) / ( 24 ÷ 8) = 1 / 3

All you need to do now is to find 1/3 of 80

1 / 3 of 80 = 1 / 3 × 80 = 80 / 3

80 / 3 = (78 + 2) / 3 = 78 / 3 + 2 / 3 = 26 + 2/3

So that is 26 years + ( 2 / 3 of a year)

What is 2 / 3 of a year?

Since 2 / 3 of a year is a fraction of a year, the answer for 2 / 3 of a year will be in months.

1 year = 12 months.

Just find out what 2 / 3 of 12 is

2 / 3 of 12 is 2 / 3 times 12

2 / 3 times 12 = (2 times 12) / 3 = 24 / 3 = 8 months

Putting everything together, you slept for 26 years and 8 months during your lifetime.





Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Basic math word problem.