Incorrect. Girlfriend may have incorrectly created  as the improper portion

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. To compose  as an improper fraction, main point 5 time 3 and add 1. The denominator is 3.  = climate change department to multiplication and multiply by the reciprocal of , i m sorry is , offering you .

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B)

*

Incorrect. Girlfriend may have actually forgotten to use the mutual of . ~ finding the improper portion  that represents , change division to multiplication and also use the reciprocal of , providing you .

C)

*

Incorrect. This is the exactly improper fraction, yet the final answer demands to it is in a blended number. Divide 16 through 2, i m sorry is 8 and no remainder. Over there is no fountain part, for this reason the answer is a totality number, 8.

D) 8

Correct. Write  as an wrong fraction, . Climate multiply by the reciprocal of , i m sorry is , providing you .

Dividing fractions or blended Numbers to deal with Problems


Using multiplication by the reciprocal rather of department can be really useful come solve problems that require department and fractions.


Example

Problem

A cook has

*
 pounds of soil beef. How many quarter- pound burgers can he make?

*

You need to find how many quarter pounds there room in

, so usage division.

*

Write  as an improper fraction.

*

Multiply by the reciprocal.

*

Multiply numerators and also multiply denominators.

*

Regroup and also simplify

*
, which is 1.

Answer

75 burgers


Example

Problem

A child needs to take

*
 tablespoons of medication per day in 4 same doses. Just how much medicine is in every dose?

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You need to make 4 same doses, so you have the right to use division.

*

Write

*
 as an wrong fraction.

*

Multiply through the reciprocal.

*

Multiply numerators and multiply denominators. Simplify, if possible.

Answer

*
 tablespoon in each dose.


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

A)

B)

C) 30

D)


Show/Hide Answer

A)

Incorrect. You probably forgot to discover the mutual of . Discover . Keep the 12, change department to multiplication, and use the reciprocal (“flip”) that , providing you .

B)

Incorrect. You still need to discover the combined number the represents . In this case, 60 divided by 2 is 30 R0, for this reason the prize is a totality number, 30.

C) 30

Correct.  will display how numerous salt shakers can be filled. Create 12 as and multiply through the reciprocal (“flip”) that , giving you

*
.

D)

Incorrect. You erroneously used the expression

*
. This will display how numerous groups the 12 there space in . You require to find how countless groups the  are in 12, which is . Then create 12 as and also multiply by the mutual (“flip”) the , providing you .

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Summary


Division is the exact same as multiplying by the reciprocal. Once working v fractions, this is the easiest method to divide. Whether you divide by a number or main point by the reciprocal of the number, the result will be the same. You have the right to use these methods to help you solve problems that show off division, fractions, and/or blended numbers.