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

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Example Question #1 : Mixed / Improper Fractions

Write $71\frac{5}{7}$ as an improper fraction.

Possible Answers:

$\frac{355}{7}$

$\frac{360}{7}$

$\frac{502}{7}$

$\frac{76}{7}$

$\frac{76}{8}$

Correct answer:

$\frac{502}{7}$

Explanation:

To find the improper fraction value, we must effectively add together 71 and ⁵/₇. To do this, we will give 71 a denominator of 7; therefore, we are transforming ⁷¹/₁ to ^x/₇. The shortest way to do this is to multiply by ⁷/₇ (which really is 1); therefore, 71 = 71 * (⁷/₇) = ⁴⁹⁷/₇.

Now add them: ^{(497 + 5)}/₇ = ⁵⁰²/₇

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Example Question #2 : Mixed / Improper Fractions

Which of the following improper fractions is equivalent to $14\frac{2}{5}$ ?

Possible Answers:

$\frac{72}{5}$

$\frac{16}{5}$

$\frac{70}{5}$

$\frac{84}{3}$

$\frac{24}{5}$

Correct answer:

$\frac{72}{5}$

Explanation:

To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction. For our problem, this means that you will multiply by , getting . Next, you add this to the numerator of your fraction, giving you 70+2 , or . Finally, you place this over your original denominator, giving you:

$\frac{72}{5}$

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

Which of the following improper fractions is equivalent to $27\frac{4}{19}$ ?

Possible Answers:

$\frac{31}{19}$

$\frac{49}{19}$

$\frac{481}{19}$

$\frac{813}{17}$

$\frac{517}{19}$

Correct answer:

$\frac{517}{19}$

Explanation:

To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction. For our problem, this means that you will multiply by , getting 513 . Next, you add this to the numerator of your fraction, giving you 513+4 , or 517 . Finally, you place this over your original denominator, giving you:

$\frac{517}{19}$

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

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #1 : Mixed / Improper Fractions

Example Question #2 : Mixed / Improper Fractions

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

All GRE Math Resources

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