Question

Kiran has 2 3/4 pounds of flour. When he divides the flower into equal sized bags, he fills 4 1/8 bags. How many pounds fit in each bag? Write a multiplication problem and then answer the question.

Answer 1

Answer:  The required number of pounds of floor that fits in each bag is $\dfrac{2}{3}.$

Step-by-step explanation:  Given that Kiran has $2\dfrac{3}{4}$ pounds of flour. When he divides the flower into equal sized bags, he fills $4\dfrac{1}{8}$ bags.

We are to find the number of pounds that fit in each bag.

We will be using the UNITARY method to solve the problem.

We have

$2\dfrac{3}{4}=\dfrac{11}{4},~~~~4\dfrac{1}{8}=\dfrac{33}{8}.$

Now,

the number of pounds of floor that fit in $\dfrac{33}{8}$ bags is

$\dfrac{11}{4}.$

Therefore, the number of pounds of floor that fit in 1 bag is

$\dfrac{\frac{11}{4}}{\frac{33}{8}}=\dfrac{11}{4}\times\dfrac{8}{33}=\dfrac{2}{3}.$

Thus, the required number of pounds of floor that fits in each bag is $\dfrac{2}{3}.$

Answer 2

ANSWER

$\frac{2}{3} \: pounds$

EXPLANATION

Let x represent how many pounds fit in each bag, then,

$\frac{ 2\frac{3}{4} }{x} = 4 \frac{1}{8}$
$\frac{ \frac{11}{4} }{x} = \frac{33}{8}$

$33x = 8 \times \frac{11}{4}$

$33x = 22$



$x = \frac{22}{33}$


$x = \frac{2}{3}$




Hence

$\frac{2}{3}$

pounds went into each bag.