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ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #301 : Build Fractions From Unit Fractions

A baker used $\frac{1}{3}$ of a package of sprinkles and $\frac{2}{3}$ of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

$\frac{3}{3}$

$\frac{2}{3}$

$\frac{5}{3}$

$\frac{4}{3}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract.

$\frac{2}{3}-\frac{1}{3}=\frac{1}{3}$

1 3

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Example Question #2043 : Common Core Math: Grade 5

$\frac{3}{4}-\frac{2}{3}$

Possible Answers:

$\frac{1}{2}$

$\frac{1}{24}$

$\frac{1}{0}$

$\frac{1}{12}$

$\frac{1}{1}$

Correct answer:

$\frac{1}{12}$

Explanation:

$\frac{3}{4}-\frac{2}{3}$

In order to solve this problem, we first have to find common denominators.

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

$\frac{2}{3\time}\times\frac{4}{4}=\frac{8}{12}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{9}{12}-\frac{8}{12}=\frac{1}{12}$

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Example Question #1 : Subtract Fractions With Unlike Denominators

$\frac{8}{12}-\frac{1}4{}$

Possible Answers:

$\frac{5}{0}$

$\frac{7}{16}$

$\frac{5}{12}$

$\frac{7}{8}$

$\frac{3}{4}$

Correct answer:

$\frac{5}{12}$

Explanation:

$\frac{8}{12}-\frac{1}4{}$

In order to solve this problem, we first have to find common denominators.

$\frac{1}{4}\times\frac{3}{3}=\frac{3}{12}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{8}{12}-\frac{3}{12}=\frac{5}{12}$

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Example Question #2 : Subtract Fractions With Unlike Denominators

$\frac{5}{6}-\frac{1}{4}$

Possible Answers:

$\frac{8}{13}$

$\frac{3}{4}$

$\frac{7}{12}$

$\frac{4}{2}$

$\frac{7}{0}$

Correct answer:

$\frac{7}{12}$

Explanation:

$\frac{5}{6}-\frac{1}{4}$

In order to solve this problem, we first have to find common denominators.

$\frac{5}{6}\times\frac{2}{2}=\frac{10}{12}$

$\frac{1}{4}\times\frac{3}{3}=\frac{3}{12}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{10}{12}-\frac{3}{12}=\frac{7}{12}$

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Example Question #2051 : Common Core Math: Grade 5

$\frac{9}{10}-\frac{3}{5}$

Possible Answers:

$\frac{5}{7}$

$\frac{3}{4}$

$\frac{6}{5}$

$\frac{3}{0}$

$\frac{3}{10}$

Correct answer:

$\frac{3}{10}$

Explanation:

$\frac{9}{10}-\frac{3}{5}$

In order to solve this problem, we first have to find common denominators.

$\frac{3}{5}\times\frac{2}{2}=\frac{6}{10}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{9}{10}-\frac{6}{10}=\frac{3}{10}$

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Example Question #4 : Subtract Fractions With Unlike Denominators

$\frac{1}{2}-\frac{1}{3}$

Possible Answers:

$\frac{0}{6}$

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{1}{6}$

$\frac{2}{6}$

Correct answer:

$\frac{1}{6}$

Explanation:

$\frac{1}{2}-\frac{1}{3}$

In order to solve this problem, we first have to find common denominators.

$\frac{1}{2}\times\frac{3}{3}=\frac{3}{6}$

$\frac{1}{3}\times\frac{2}{2}=\frac{2}{6}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{3}{6}-\frac{2}{6}=\frac{1}{6}$

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Example Question #141 : Fractions

$\frac{3}{4}-\frac{5}{8}$

Possible Answers:

$\frac{1}{8}$

$\frac{2}{4}$

$\frac{3}{8}$

$\frac{11}{16}$

$\frac{1}2{}$

Correct answer:

$\frac{1}{8}$

Explanation:

$\frac{3}{4}-\frac{5}{8}$

In order to solve this problem, we first have to find common denominators.

$\frac{3}{4}\times\frac{2}{2}=\frac{6}{8}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{6}{8}-\frac{5}{8}=\frac{1}{8}$

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Example Question #5 : Subtract Fractions With Unlike Denominators

Solve the following:

$\frac{2}{3}-\frac{1}{8}$

Possible Answers:

$\frac{1}{5}$

$\frac{12}{24}$

$\frac{3}7{}$

$\frac{1}2{}$

$\frac{13}{24}$

Correct answer:

$\frac{13}{24}$

Explanation:

$\frac{2}{3}-\frac{1}{8}$

In order to solve this problem, we first have to find common denominators.

$\frac{2}{3}\times\frac{8}{8}=\frac{16}{24}$

$\frac{1}{8}\times\frac{3}{3}=\frac{3}{24}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{16}{24}-\frac{3}{24}=\frac{13}{24}$

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Example Question #3 : Subtract Fractions With Unlike Denominators

$\frac{9}{11}-\frac{3}{4}$

Possible Answers:

$\frac{3}{44}$

$\frac{1}{2}$

$\frac{5}{22}$

$\frac{6}{7}$

$\frac{3}9{}$

Correct answer:

$\frac{3}{44}$

Explanation:

$\frac{9}{11}-\frac{3}{4}$

In order to solve this problem, we first have to find common denominators.

$\frac{9}{11}\times\frac{4}{4}=\frac{36}{44}$

$\frac{3}{4}\times\frac{11}{11}=\frac{33}{44}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{36}{44}-\frac{33}{44}=\frac{3}{44}$

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Example Question #4 : Subtract Fractions With Unlike Denominators

$\frac{8}{9}-\frac{1}{8}$

Possible Answers:

$\frac{55}{72}$

$\frac{43}{82}$

$\frac{13}{29}$

$\frac{3}{4}$

$\frac{5}{7}$

Correct answer:

$\frac{55}{72}$

Explanation:

$\frac{8}{9}-\frac{1}{8}$

In order to solve this problem, we first have to find common denominators.

$\frac{8}{9}\times\frac{8}{8}=\frac{64}{72}$

$\frac{1}{8}\times\frac{9}{9}=\frac{9}{72}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{64}{72}-\frac{9}{72}=\frac{55}{72}$

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #301 : Build Fractions From Unit Fractions

Example Question #2043 : Common Core Math: Grade 5

Example Question #1 : Subtract Fractions With Unlike Denominators

Example Question #2 : Subtract Fractions With Unlike Denominators

Example Question #2051 : Common Core Math: Grade 5

Example Question #4 : Subtract Fractions With Unlike Denominators

Example Question #141 : Fractions

Example Question #5 : Subtract Fractions With Unlike Denominators

Example Question #3 : Subtract Fractions With Unlike Denominators

Example Question #4 : Subtract Fractions With Unlike Denominators

All ISEE Middle Level Quantitative Resources

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