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SSAT Upper Level Math : How to simplify a fraction

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

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All SSAT Upper Level Math Resources

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Example Questions

Example Question #11 : How To Simplify A Fraction

Put the fraction in simplest form.

$\frac{36}{84}$

Possible Answers:

$\frac{7}{3}$

$\frac{18}{42}$

$\frac{3}{7}$

$\frac{3}{84}$

Correct answer:

$\frac{3}{7}$

Explanation:

To simplify a fraction, divide both the numerator and the denominator by the same numbers until there is no number that can divide them both without resulting in a remainder.

$\frac{36\div12}{84\div12}=\frac{3}{7}$

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Example Question #12 : How To Simplify A Fraction

Put the fraction in simplest form.

$\frac{12x}{30}$

Possible Answers:

$\frac{12x}{15}$

$\frac{12x}{5}$

$\frac{2x}{5}$

$\frac{2}{5}$

Correct answer:

$\frac{2x}{5}$

Explanation:

To simplify a fraction, divide both the numerator and the denominator by the same numbers until there is no number that can divide them both without resulting in a remainder. Since only the numerator has , leave the variable alone.

$\frac{12x\div6}{30\div6}=\frac{2x}{5}$

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Example Question #13 : How To Simplify A Fraction

Put the fraction in simplest form.

$\frac{30x}{75x}$

Possible Answers:

$\frac{4x}{10}$

$\frac{2}{5x}$

$\frac{2}{5}$

$\frac{2x}{5}$

Correct answer:

$\frac{2}{5}$

Explanation:

$\frac{30x}{75x}=\frac{30}{75}\times\frac{x}{x}$

$\frac{x}{x}=1$

$\frac{30x}{75x}=\frac{30}{75}\times\frac{x}{x}=\frac{30}{75}\cdot 1=\frac{30}{75}$

$\frac{30\div15}{75\div15}=\frac{2}{5}$

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Example Question #13 : How To Simplify A Fraction

Put the fraction in simplest form.

$\frac{48t}{60s}$

Possible Answers:

$\frac{4}{5}$

$\frac{8t}{10s}$

$\frac{4t}{s}$

$\frac{4t}{5s}$

Correct answer:

$\frac{4t}{5s}$

Explanation:

$\frac{48t\div12}{60s\div12}=\frac{4t}{5s}$

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Example Question #14 : How To Simplify A Fraction

Put the fraction in simplest form.

$\frac{96x}{224y}$

Possible Answers:

$\frac{6}{14}$

$\frac{3x}{7y}$

$\frac{96}{224}$

$\frac{48x}{112y}$

Correct answer:

$\frac{3x}{7y}$

Explanation:

$\frac{96x\div2}{224y\div2}=\frac{48x\div4}{112y\div4}=\frac{12x\div4}{28y\div4}=\frac{3x}{7y}$

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Example Question #15 : How To Simplify A Fraction

Put the fraction in simplest form.

$\frac{57a}{300q}$

Possible Answers:

$\frac{57a}{100q}$

$\frac{19}{100}$

$\frac{19a}{100q}$

$\frac{19q}{100a}$

Correct answer:

$\frac{19a}{100q}$

Explanation:

$\frac{57a\div3}{300q\div3}=\frac{19a}{100q}$

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Example Question #16 : How To Simplify A Fraction

Put the fraction in simplest form.

$\frac{96m}{220h}$

Possible Answers:

$\frac{24}{55}$

$\frac{24m}{55h}$

$\frac{48m}{110}$

$\frac{48}{100}$

Correct answer:

$\frac{24m}{55h}$

Explanation:

$\frac{96m\div4}{220h\div4}=\frac{24m}{55h}$

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Example Question #1 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Fill in the blank with the missing fraction.

$\frac{1}{7}\times\frac{?}{?}=\frac{3}{21}$

Possible Answers:

$\frac{4}{4}$

$\frac{3}{3}$

$\frac{3}{4}$

$\frac{2}{2}$

$\frac{2}{4}$

Correct answer:

$\frac{3}{3}$

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number.

$1\times3=3$

$7\times3=21$

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Example Question #2 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Fill in the blank with the missing fraction.

$\frac{2}{5}\times\frac{?}{?}=\frac{4}{10}$

Possible Answers:

$\frac{1}{2}$

$\frac{3}{3}$

$\frac{2}{3}$

$\frac{2}{2}$

$\frac{1}{1}$

Correct answer:

$\frac{2}{2}$

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number.

$2\times2=4$

$5\times2=10$

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Example Question #3 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Fill in the blank with the missing fraction.

$\frac{3}{4}\times\frac{?}{?}=\frac{9}{12}$

Possible Answers:

$\frac{4}{4}$

$\frac{3}{3}$

$\frac{1}{3}$

$\frac{2}{3}$

$\frac{2}{2}$

Correct answer:

$\frac{3}{3}$

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number.

$3\times3=9$

$4\times3=12$

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SSAT Upper Level Math : How to simplify a fraction

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #11 : How To Simplify A Fraction

Example Question #12 : How To Simplify A Fraction

Example Question #13 : How To Simplify A Fraction

Example Question #13 : How To Simplify A Fraction

Example Question #14 : How To Simplify A Fraction

Example Question #15 : How To Simplify A Fraction

Example Question #16 : How To Simplify A Fraction

Example Question #1 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Example Question #2 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Example Question #3 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

All SSAT Upper Level Math Resources

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