Question

You have 4 pounds of peanuts. You want to put it in the bags so that there is 2/3 pounds in each bag. How many bags can you fill ?

Answer 1

6 bags

Explanation:

This problem is essentially asking how many (
`(2)/(3)`) peanut bags can one fill with (
`4`) pounds of peanuts. This problem can be solved by divided (
`4`) by (
`(2)/(3)`). Set up the problem,

`4` ÷
`(2)/(3)`

In order to divide by a fraction, one must change the multiplication sign to a division sign, then take the reciprocal of the second number, the fraction. In order to take the reciprocal of a fraction, switch the numerator (number on top) and the denominator (number on the bottom).

`4 * (3)/(2)`

Multiply,

`(12)/(2)`

Simplify,

`6`