Incorrect. You may have actually incorrectly created  as the improper fraction

*
. To write  as an not correct fraction, main point 5 times 3 and add 1. The denominator is 3.  = climate change division to multiplication and multiply by the reciprocal of , i m sorry is , offering you .

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B)

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Incorrect. Friend may have actually forgotten to usage the reciprocal of . After ~ finding the improper portion  that to represent , change department to multiplication and also use the mutual of , giving you .

C)

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Incorrect. This is the correct improper fraction, yet the last answer requirements to be a mixed number. Division 16 by 2, which is 8 and also no remainder. Over there is no fountain part, for this reason the answer is a whole number, 8.

D) 8

Correct. Compose  as an not correct fraction, . Then multiply by the reciprocal of , i beg your pardon is , providing you .

Dividing fractions or blended Numbers to fix Problems


Using multiplication by the reciprocal rather of division can be an extremely useful to solve troubles that require division and fractions.


Example

Problem

A chef has

*
 pounds of ground beef. How plenty of quarter- lb burgers deserve to he make?

*

You require to discover how many quarter pounds there are in

, so usage division.

*

Write  as an improper fraction.

*

Multiply by the reciprocal.

*

Multiply numerators and multiply denominators.

*

Regroup and simplify

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, i m sorry is 1.

Answer

75 burgers


Example

Problem

A child demands to take it

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 tablespoons of medicine per work in 4 same doses. Exactly how much medication is in every dose?

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You must make 4 same doses, for this reason you deserve to use division.

*

Write

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 as an not correct fraction.

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Multiply by the reciprocal.

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Multiply numerators and multiply denominators. Simplify, if possible.

Answer

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 tablespoon in each dose.


How numerous -cup salt shakers deserve to be filled indigenous 12 cups of salt?

A)

B)

C) 30

D)


Show/Hide Answer

A)

Incorrect. You most likely forgot to uncover the reciprocal of . Discover . Store the 12, change department to multiplication, and also use the mutual (“flip”) of , providing you .

B)

Incorrect. You still need to uncover the mixed number that represents . In this case, 60 divided by 2 is 30 R0, therefore the answer is a totality number, 30.

C) 30

Correct.  will display how plenty of salt shakers can be filled. Compose 12 as and multiply by the reciprocal (“flip”) that , giving you

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.

D)

Incorrect. You erroneously used the expression

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. This will show how countless groups of 12 there are in . You require to uncover how countless groups the  are in 12, i beg your pardon is . Then create 12 as and also multiply through the reciprocal (“flip”) that , providing you .

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Summary


Division is the very same as multiply by the reciprocal. As soon as working with fractions, this is the easiest means to divide. Whether you divide by a number or main point by the mutual of the number, the an outcome will be the same. You can use these techniques to aid you solve problems that involve division, fractions, and/or mixed numbers.