Malcolm is filling bags with rice.
He starts with a $5 \frac{1}{4}$ pound container of rice and fills each bag with $\frac{5}{8}$ pound of rice.
How many bags of rice can Malcolm fill?

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Solution

Explanation for the correct answer:
$\frac{5}{8}$ pound of rice can be filled in $1$ bag
$1$ pound of rice can be filled in $\frac{1}{(\frac{5}{8})} = \frac{8}{5}$ bags
Now, $5 \frac{1}{4} = \frac{5 (4) + 1}{4} = \frac{21}{4}$
Hence $\frac{21}{4}$ pound of rice can be filled in $\frac{8}{5} \times \frac{21}{4} = \frac{42}{5} = 8.4 \approx 8$ bags
Hence, Malcolm can fill $8$ bags of rice.

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Malcolm is filling bags with rice. He starts with a 514 pound container of rice and fills each bag with 58 pound of rice. How many bags of rice can Malcolm fill?

Explanation for the correct answer: 58 pound of rice can be filled in 1 bag1 pound of rice can be filled in 158=85bagsNow, 514=54+14=214Hence 214pound of rice can be filled in 85×214=425=8.4≈8bagsHence, Malcolm can fill 8 bags of rice.

Malcolm is filling bags with rice.
He starts with a $5 \frac{1}{4}$ pound container of rice and fills each bag with $\frac{5}{8}$ pound of rice.
How many bags of rice can Malcolm fill?