GRE Math : How to find out a mixed fraction from an improper fraction

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

and are positive integers.

is a multiple of .

Quantity A: $\frac{x^5}{x^y}$

Quantity B: $x^{5/y}$

Possible Answers:

The two quantities are equal.

The relationship cannot be determined.

Quantity A is greater.

Quantity B is greater.

Correct answer:

The relationship cannot be determined.

Explanation:

Recall that the exponent of the denominator is sutracted from the exponent of the numerator.

Therefore Quantity A is equivalent to x^5–y, and because we would then be comparing an arithmetic operation to a geometric operation, it does not matter whether y is a multiple of 5. The two quantities cannot be compared.

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

Which of the following is the mixed fraction equivalent to $\frac{19}{3}$ ?

Possible Answers:

$\frac{3}{19}$

$6\frac{1}{3}$

$6\frac{3}{5}$

$\frac{13}{3}$

$8\frac{2}{3}$

Correct answer:

$6\frac{1}{3}$

Explanation:

To begin, notice that using your calculator, you can find:

$\frac{19}{3} = 6.33333...$

Now, the closest even multiple of that is less than is . Therefore, you know that your number is:

$\frac{19}{3}=\frac{18}{3}+\frac{1}{3}$

This is the same as:

$6+\frac{1}{3}$ , or simply, $6\frac{1}{3}$ . This is your mixed fraction.

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Example Question #63 : Fractions

Which of the following is equivalent to $\frac{82}{4}$ ?

Possible Answers:

$20\frac{1}{2}$

$15\frac{3}{4}$

$15\frac{1}{2}$

$20\frac{1}{4}$

$20\frac{3}{8}$

Correct answer:

$20\frac{1}{2}$

Explanation:

Although there are many ways to convert improper fractions into mixed fractions, the easiest way is to use your calculator to your advantage. Begin by dividing by . This gives you 20.5 . Therefore, you can eliminate all the options that have do not have for their first portion. Next, multiply 0.5 by the denominator (), and get . This means that you have and $\frac{2}{4}$ , or $\frac{1}{2}$ . Thus, your answer is $20\frac{1}{2}$ .

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

Quantity A: $\frac{490}{12}$

Quantity B: $40\frac{5}{6}$

Which of the following is true?

Possible Answers:

Quantity A is larger.

The relationship of the two quantities cannot be determined based on the information provided.

The two quantities are equal

Quantity B is larger.

Correct answer:

The two quantities are equal

Explanation:

Though there are several ways you could solve this, let's convert the improper fraction into a mixed one so we can compare them. Start by dividing 490 by . This gives you 40.833333...

Now, since we know that the two numbers have the same whole-number value, we need to compare their decimal portions. Compare 0.833333... to $\frac{5}{6}$ . The latter is indeed Therefore, the two values are equal.

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GRE Math : How to find out a mixed fraction from an improper fraction

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

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

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

Example Question #63 : Fractions

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

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