SSAT Middle Level Math : How to divide fractions

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

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Example Questions

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Example Question #1 : How To Divide Fractions

 is larger than 0.  Which of the following could be equal to ?

 

I.  

II. 

 

III. 

Possible Answers:

I only

II only

I, II and III

III only

I and II

Correct answer:

I, II and III

Explanation:

All of the answers can be divided by 3 to yield an answer larger than zero.  In fact, any positive number would be a viable answer.

Example Question #2 : How To Divide Fractions

Express the quotient as a fraction in lowest terms: 

Possible Answers:

Correct answer:

Explanation:

Rewrite the mixed fractions as improper fractions, change to a multiplication by inverting the second, cross-cancel, and multiply across:

  

Example Question #3 : How To Divide Fractions

Express the quotient as a fraction in lowest terms: 

Possible Answers:

Correct answer:

Explanation:

Rewrite the mixed fractions as improper fractions, change to a multiplication by inverting the second, cross-cancel, and multiply across:

Example Question #4 : How To Divide Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

Example Question #5 : How To Divide Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

Example Question #6 : How To Divide Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

Example Question #7 : How To Divide Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

Example Question #69 : Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Example Question #3 : How To Divide Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Example Question #4 : How To Divide Fractions

Evaluate: 

Possible Answers:

Correct answer:

Explanation:

By order of operations, divide first. Since the divisor is a whole number, divide as is:

Add this quotient to 6.51.

Add vertically, aligning the decimal points (appending a zero to 0.3):

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