SAT Math : Mixed / Improper Fractions

Study concepts, example questions & explanations for SAT Math

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Example Questions

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Example Question #7 : How To Find Out A Mixed Fraction From An Improper Fraction

Which of the following mixed numbers is equal to the improper fraction ?

Possible Answers:

Correct answer:

Explanation:

To determine the coefficient of the mixed number, divide 73 by 25.  There will be a remainder since 73 does not go perfectly into 25.  

There are two whole units and 23 of 25 units.  Rewrite this into a mixed fraction.

The correct answer is:  

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

Reduce the fraction below to its most simplest form. 

Possible Answers:

Correct answer:

Explanation:

In order to reduce a fraction, you need to divide each number by the same number. It is helpful to find the greatest common factor and divide by that. You can also divide it by a common factor a few times if you cannot determine the greatest common factor.

In this fraction, the GCF is .

If you divide both numbers by the GCF you get .

You then need to make the improper fraction into a mixed number. Determine how many times  goes into . It will go in 4 times with 1 left over.

Therefore, the answer is .

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