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]