SSAT Upper Level Math : How to find out a mixed fraction from an improper fraction

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

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Example Questions

Example Question #1 : How To Find Out A Mixed Fraction From An Improper Fraction

Which of the following is one more than  ?

Possible Answers:

Correct answer:

Explanation:

Rewrite  as follows:

, so .

Add one: 

Example Question #2 : How To Find Out A Mixed Fraction From An Improper Fraction

Which of the following is three times  ?

Possible Answers:

Correct answer:

Explanation:

Since ,

Example Question #3 : How To Find Out A Mixed Fraction From An Improper Fraction

Which of the following is 80% of  ?

Possible Answers:

Correct answer:

Explanation:

80% of a number is equal to  multiplied by that number, so 80% of  is 

Since 

.

Example Question #4 : How To Find Out A Mixed Fraction From An Improper Fraction

Which of the following is  increased by 25%?

Possible Answers:

The correct answer is not among the other responses.

Correct answer:

Explanation:

A number increased by 25% is 125%, or , multiplied by the number.  increased by 25% is therefore 

, so

Example Question #5 : How To Find Out A Mixed Fraction From An Improper Fraction

Decrease  by 12.5%. What is the result?

Possible Answers:

Correct answer:

Explanation:

Decreasing a number by 12.5% is the same as taking 87.5% of a number, or multiplying it by

.

, so

Example Question #2 : Algebraic Fractions

Change to a mixed number 

Possible Answers:

Correct answer:

Explanation:

To convert from a fraction to a mixed number we must find out how many times the denominator goes into the numerator using division and the remainder becomes the new fraction. 

 

Example Question #6 : How To Find Out A Mixed Fraction From An Improper Fraction

Write  as a mixed fraction.

Possible Answers:

Correct answer:

Explanation:

Divide the numerator by the denominator.

Now, the whole number part will be . Write the remainder on top of the denominator to get the fraction.

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