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ISEE Lower Level Quantitative : Operations with fractions and whole numbers

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

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #422 : Fractions

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

Possible Answers:

$\frac{1}{6}$

$\frac{1}{2}$

$\frac{0}{6}$

$\frac{3}{4}$

$\frac{2}{6}$

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 #1571 : Ssat Middle Level Quantitative (Math)

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

Possible Answers:

$\frac{11}{16}$

$\frac{3}{8}$

$\frac{1}{8}$

$\frac{1}2{}$

$\frac{2}{4}$

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 #7 : Subtract Fractions With Unlike Denominators

Solve the following:

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

Possible Answers:

$\frac{13}{24}$

$\frac{1}2{}$

$\frac{12}{24}$

$\frac{1}{5}$

$\frac{3}7{}$

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 #1571 : Ssat Middle Level Quantitative (Math)

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

Possible Answers:

$\frac{3}9{}$

$\frac{3}{44}$

$\frac{5}{22}$

$\frac{1}{2}$

$\frac{6}{7}$

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 #1 : Subtract Fractions With Unlike Denominators

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

Possible Answers:

$\frac{5}{7}$

$\frac{55}{72}$

$\frac{13}{29}$

$\frac{43}{82}$

$\frac{3}{4}$

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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Example Question #2 : Subtract Fractions With Unlike Denominators

$\frac{4}{5}-\frac{2}{7}$

Possible Answers:

$\frac{23}{49}$

$\frac{19}{56}$

$\frac{5}{7}$

$\frac{2}{7}$

$\frac{18}{35}$

Correct answer:

$\frac{18}{35}$

Explanation:

$\frac{4}{5}-\frac{2}{7}$

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

$\frac{4}{5}\times\frac{7}{7}=\frac{28}{35}$

$\frac{2}{7}\times\frac{5}{5}=\frac{10}{35}$

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.

$\frac{28}{35}-\frac{10}{35}=\frac{18}{35}$

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Example Question #3 : Add Fractions With Unlike Denominators

$\frac{3}{4}+\frac{1}{3}=$

Possible Answers:

$1\frac{1}{12}$

$\frac{4}{7}$

$\frac{12}{13}$

$\frac{7}{4}$

$\frac{13}{24}$

Correct answer:

$1\frac{1}{12}$

Explanation:

$\frac{3}{4}+\frac{1}{3}$

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

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

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

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

$\frac{9}{12}+\frac{4}{12}=\frac{13}{12}$

$\frac{13}{12}=1\frac{1}{12}$ because can go into one time, with one left over.

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Example Question #4 : Add Fractions With Unlike Denominators

$\frac{5}{6}+\frac{2}{4}$

Possible Answers:

$1\frac{1}{3}$

$\frac{12}{16}$

$\frac{24}{16}$

$\frac{7}{10}$

$\frac{16}{24}$

Correct answer:

$1\frac{1}{3}$

Explanation:

$\frac{5}{6}+\frac{2}{4}$

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

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

$\frac{2}{4}\times\frac{3}{3}=\frac{6}{12}$

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

$\frac{10}{12}+\frac{6}{12}=\frac{16}{12}$

$\frac{16}{12}=1\frac{4}{12}=1\frac{1}{3}$ because and go into one time with four left over. $\frac{4}{12}$ can be reduced to $\frac{1}{3}$ by dividing the numerator and the denominator by

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Example Question #3 : Add Fractions With Unlike Denominators

Solve the following:

$\frac{2}{3}+\frac{1}{7}$

Possible Answers:

$\frac{17}{42}$

$\frac{16}{21}$

$\frac{3}{10}$

$\frac{1}{5}$

$\frac{17}{21}$

Correct answer:

$\frac{17}{21}$

Explanation:

$\frac{2}{3}+\frac{1}{7}$

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

$\frac{2}{3}\times\frac{7}{7}=\frac{14}{21}$

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

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

$\frac{14}{21}+\frac{3}{21}=\frac{17}{21}$

Report an Error

Example Question #3 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

Solve:

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

Possible Answers:

$\frac{5}{6}$

$\frac{3}{5}$

$1\frac{1}{6}$

$\frac{6}{7}$

$\frac{7}{12}$

Correct answer:

$1\frac{1}{6}$

Explanation:

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

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

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

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

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

$\frac{4}{6}+\frac{3}{6}=\frac{7}{6}$

$\frac{7}{6}=1\frac{1}{6}$ because can go into one time with $\frac{1}{6}$ left over.

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Lower Level Quantitative : Operations with fractions and whole numbers

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #422 : Fractions

Example Question #1571 : Ssat Middle Level Quantitative (Math)

Example Question #7 : Subtract Fractions With Unlike Denominators

Example Question #1571 : Ssat Middle Level Quantitative (Math)

Example Question #1 : Subtract Fractions With Unlike Denominators

Example Question #2 : Subtract Fractions With Unlike Denominators

Example Question #3 : Add Fractions With Unlike Denominators

Example Question #4 : Add Fractions With Unlike Denominators

Example Question #3 : Add Fractions With Unlike Denominators

Example Question #3 : Add And Subtract Fractions With Unlike Denominators: Ccss.Math.Content.5.Nf.A.1

All ISEE Lower Level Quantitative Resources

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