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A large bag contains 11/12 bag of nails how many 1/3 bag of nails can be filled

2 Answers

2 votes

Answer:

11/4 1/3 bags

Explanation:

To find out how many 1/3 bags can be filled, divide the amount in the large bag (11/12 of a full bag) by the amount in each 1/3 bag.

(11/12) ÷ (1/3)

To divide fractions, you have to multiply by the reciprocal of the divisor (flip it).

(11/12) x (3/1) = (11/12) x (3/1) = (11/4)

So, the large bag can be filled with (11/4) 1/3 bags of nails.

answered
User Djizeus
by
9.0k points
3 votes

To find out how many 1/3 bags of nails can be filled from a large bag that contains 11/12 of a bag, we can use a proportion.

Let's set up the proportion:

(1/3 bag of nails) / (11/12 bag of nails) = x / 1 bag of nails

To solve for x, we can cross-multiply:

(1/3) * 1 bag of nails = (11/12) * x

1/3 = 11/12 * x

To isolate x, we can multiply both sides by the reciprocal of 11/12, which is 12/11:

(1/3) * (12/11) = x

4/11 = x

So, you can fill 4/11 of a 1/3 bag of nails from the large bag.

In other words, you can fill approximately 0.3636 (repeating decimal) of a 1/3 bag of nails from the given large bag.

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