Malcolm is filling bags with rice. He starts with a 5 1/4 pound container of rice and fills each bag with 5/8 pound of rice. How many bags of rice can Malcolm fill?
5 1/4 ÷ 5/8
= 21/4 ÷ 5/8
= (21/4)(8/5)
= 42/5 = 8.4 bags
so he can fill 8 bags, not enough for a 9th one
(5/8) x = 5 1/4 = 21/4 = 42/8
so
5 x = 42
x = 8 2/5 which is indeed 8.4
however if the question means you must FILL them, it is 8
To find out how many bags of rice Malcolm can fill, we need to divide the total amount of rice he has (5 1/4 pounds) by the amount of rice in each bag (5/8 pound).
First, let's convert 5 1/4 pounds to an improper fraction:
5 pounds = 5 * 4/4 = 20/4
1/4 pound = 1/4
Total = 20/4 + 1/4 = 21/4 pounds
Now, we can divide 21/4 by 5/8 to find the number of bags of rice:
(21/4) ÷ (5/8)
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
(21/4) * (8/5)
Multiply the numerators to get the new numerator and multiply the denominators to get the new denominator:
(21 * 8) / (4 * 5) = 168/20
Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:
168/20 = (168 ÷ 4) / (20 ÷ 4) = 42/5
Therefore, Malcolm can fill 42 bags of rice with the given amount.
Malcolm can fill 8 bags of rice.
To determine how many bags Malcolm can fill, you will need to divide the total amount of rice by the amount of rice that each bag holds. The total amount of rice that Malcolm has is 5 1/4 pounds and each bag holds 5/8 pound of rice. You can convert both of these measurements to fractions with a denominator of 8 by multiplying the fraction 5/8 by 1/1 and the fraction 5 1/4 by 2/2. This gives you:
5/8 * 1/1 = 5/8
5 1/4 * 2/2 = 10 1/2
Now you can add these fractions: 5/8 + 10 1/2 = 10 3/8. This is the total amount of rice that Malcolm has in pounds.
To determine how many bags Malcolm can fill, you can divide the total amount of rice by the amount of rice that each bag holds. In this case, you would divide 10 3/8 by 5/8:
10 3/8 / 5/8 = (10 3/8) * (8/5)
= (10 * 8) + (3/8) * (8/5)
= 80 + 3/5
= 80 3/5
Malcolm can fill 80 3/5 bags.