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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 ?

Respuesta :

Answer:

6 bags

Step-by-step explanation:

This problem is essentially asking how many ([tex]\frac{2}{3}[/tex]) peanut bags can one fill with ([tex]4[/tex]) pounds of peanuts. This problem can be solved by divided ([tex]4[/tex]) by ([tex]\frac{2}{3}[/tex]). Set up the problem,

[tex]4[/tex] ÷ [tex]\frac{2}{3}[/tex]

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).

[tex]4 * \frac{3}{2}[/tex]

Multiply,

[tex]\frac{12}{2}[/tex]

Simplify,

[tex]6[/tex]