Question

1. Noah has 4, pounds of peanuts. When he divides the peanuts into equal-sized bags, he fills 5⅔ bags. How many pounds fit in each bag?

Answer 1

Each bag can fit 12/17 of a pound of peanuts.

Step-by-step explanation:

To find out how many pounds fit in each bag, we need to divide the total weight of peanuts by the number of bags. Noah has 4 pounds of peanuts and fills 5⅔ bags.

We can convert the mixed number to an improper fraction by multiplying the whole number (5) by the denominator (3) and adding the numerator (2). That gives us 17/3.

Now, we divide 4 pounds by 17/3 bags.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

So, we have 4 ÷ (17/3).

Next, we multiply the fractions by multiplying the numerators (4) and denominators (3).

4 x (3/17) = 12/17.

Therefore, each bag can fit 12/17 of a pound of peanuts.