SSAT Middle Level Math : How to divide fractions

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

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Example Questions

Example Question #11 : Fractions

Evaluate: 

Possible Answers:

Correct answer:

Explanation:

By order of operations, divide first. Move the decimal point right two places in both dividend and divisor to make the divisor a whole number, and divide the resulting whole numbers:

Add this quotient to 80.8: 

Append a decimal point and a zero to 40, align the decimal points, and add:

  

  

Example Question #12 : Fractions

Evaluate:

 

Possible Answers:

Correct answer:

Explanation:

Rewrite this horizontally as a division expression, rewrite as a product, cross-cancel, and multply across:

 

Example Question #13 : Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Rewrite this horizontally as a division expression, rewrite as a product, cross-cancel, and multply across:

Since ,

Example Question #14 : Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Rewrite this horizontally as a division expression, rewrite as a product, cross-cancel, and finally multiply across:

Since ,

,

which is the correct answer.

Example Question #11 : How To Divide Fractions

Which of the following yields the largest number?

Possible Answers:

Correct answer:

Explanation:

When dividing by a fraction between 0 and 1, the answer will always get larger. In this case it is larger than simply adding the two fractions together.

Example Question #16 : Fractions

Divide: 

Possible Answers:

Correct answer:

Explanation:

Simply use the long division process. The quotient will be: 

Example Question #17 : Fractions

Simplify:

Possible Answers:

Correct answer:

Explanation:

Rewrite as a division and evaluate:

Example Question #18 : Fractions

Simplify:

Possible Answers:

Correct answer:

Explanation:

Rewrite as a division, then solve:

Example Question #19 : Fractions

Possible Answers:

Correct answer:

Explanation:

When dividing fractions, first find the reciprocal of the second fraction and change the problem to multiplication:

You then treat the problem like any other multiplication problem and multiply straight across.

Since the numerator is larger than the denominator, we know our answer will be greater than 1.

6 divides into 8 one time, with 2 remaining. The 2 remains on top of the 6 as the numerator. This answer can still be reduced; however, as 2 and 6 are both evenly divisible by 2.

 

Your final answer is 

Example Question #1 : How To Multiply And Divide Fractions

One Australian dollar is equal to about 86 cents. To the nearest whole, for how many Australian dollars can a tourist to Australia expect to exchange $600 in American money?

Possible Answers:

Correct answer:

Explanation:

One Australian dollar is equivalent to 86 cents, or $0.86, in American money, so divide $600 dollars by this conversion factor. $600 is equivalent to

 Australian dollars.

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