5 books weight a total of 6 2/5 pounds. If each book weighs the same amount, how much does each book weigh? Show your work
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Hello there. To solve this question, we'll have to remember some properties about mixed fractions.
5 book weight a total of 6 2/5 pounds. If each book weighs the same amount, how much does each book weigh?
We start by converting the fraction from the mixed fraction notation to the normal notation:
Therefore we have:
Now, suppose each book weigh x pounds. 5 books weight will be equal to 5x.
If 5 books weigh 32/5, then we have the following equation:
Divide both sides of the equation by a factor of 5
To find the value of this fraction, the trick is to multiply it by 4/4 (when the denominator is 25):
Each book weighs 1.28 pounds.