# Sleep and fraction

by Susie

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.

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