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.

Recent Articles

  1. How To Find The Factors Of 20: A Simple Way

    Sep 17, 23 09:46 AM

    Positive factors of 20
    There are many ways to find the factors of 20. A simple way is to...

    Read More

  2. The SAT Math Test: How To Be Prepared To Face It And Survive

    Jun 09, 23 12:04 PM

    SAT math
    The SAT Math section is known for being difficult. But it doesn’t have to be. Learn how to be prepared and complete the section with confidence here.

    Read More

Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Math quizzes

 Recommended

Math vocabulary quizzes