ISEE Middle Level Math : How to divide fractions

Study concepts, example questions & explanations for ISEE Middle Level Math

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Example Questions

Example Question #11 : How To Divide Fractions

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Rewrite as a division, then solve:

Example Question #12 : How To Divide Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

To divide any number by a fraction, we can multiply that number by the reciprocal of the fraction. That means:

 

 

So we have:

 

Example Question #13 : How To Divide Fractions

Simplify:

Possible Answers:

Correct answer:

Explanation:

Multiply each term by 6:

 

Example Question #14 : How To Divide Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

A mixed number represents the sum of an integer and a fraction. In order to evaluate this problem first we need to change the mixed number ( ) to an improper fraction. Improper fractions are fractions whose numerator is greater than the denominator. So we can write:

 

 

Now we should evaluate   and we have:

 

Example Question #15 : How To Divide Fractions

Simplify:

Possible Answers:

Correct answer:

Explanation:

We can first find a common denominator for the expression in the numerator, which is . This gives us:

 

Example Question #531 : Numbers And Operations

Which of the following is the reciprocal of  ?

Possible Answers:

Correct answer:

Explanation:

First, rewrite this as an improper fraction:

The reciprocal of an improper fraction can be found by switching its numerator and denominator, retaining the negative sign, so the reciprocal is .

Example Question #532 : Numbers And Operations

Which of the following is the reciprocal of 2.8?

Possible Answers:

Correct answer:

Explanation:

First, rewrite this as an improper fraction:

The reciprocal of an improper fraction can be found by switching its numerator and denominator, so the reciprocal is .

Example Question #533 : Numbers And Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

Example Question #534 : Numbers And Operations

Which of the following is the reciprocal of 31.25?

Possible Answers:

Correct answer:

Explanation:

Rewrite 31.25 as a fraction:

Exchange the positions of the numerator and the denominator to get . Now divide 4 by 125:

Example Question #535 : Numbers And Operations

Solve:

Possible Answers:

 

 

 

 

 

Correct answer:

Explanation:

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