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ISEE Lower Level Quantitative : Fractions

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 #2424 : Operations

Solve:

$\frac{7}8{+\frac{2}{4}}$

Possible Answers:

$\frac{16}{11}$

$\frac{8}{11}$

$1\frac{3}{8}$

$\frac{11}{16}$

$\frac{9}{12}$

Correct answer:

$1\frac{3}{8}$

Explanation:

$\frac{7}8{+\frac{2}{4}}$

In order to solve this problem, we first have to find common denominators. $\frac{2}{4}\times\frac{2}{2}=\frac{4}{8}$

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.

$\frac{7}{8}+\frac{4}{8}=\frac{11}{8}$

$\frac{11}{8}=1\frac{3}{8}$ because can go into one time with left over.

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Example Question #2425 : Operations

Solve:

$\frac{3}{5}+\frac{1}3$

Possible Answers:

$\frac{4}{8}$

$\frac{13}{15}$

$\frac{1}{2}$

$\frac{14}{15}$

$\frac{14}{30}$

Correct answer:

$\frac{14}{15}$

Explanation:

$\frac{3}{5}+\frac{1}3$

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

$\frac{3}5{} \times\frac{3}{3}=\frac{9}{15}$

$\frac{1}{3}\times\frac{5}{5}=\frac{5}{15}$

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.

$\frac{9}{15}+\frac{5}{15}=\frac{14}{15}$

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Example Question #421 : Fractions

Solve:

$\frac{2}{3}-\frac{3}{5}$

Possible Answers:

$\frac{5}{15}$

$\frac{1}{30}$

$\frac{1}{15}$

$\frac{1}{3}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{15}$

Explanation:

$\frac{2}{3}-\frac{3}{5}$

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

$\frac{2}{3}\times\frac{5}{5}=\frac{10}{15}$

$\frac{3}{5}\times \frac{3}{3}=\frac{9}{15}$

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.

$\frac{10}{15}-\frac{9}{15}=\frac{1}{15}$

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Example Question #61 : How To Subtract Fractions

Solve:

$\frac{7}{8}-\frac{3}{16}$

Possible Answers:

$\frac{13}{16}$

$\frac{1}{4}$

$\frac{4}{8}$

$\frac{11}{16}$

$\frac{4}{16}$

Correct answer:

$\frac{11}{16}$

Explanation:

$\frac{7}{8}-\frac{3}{16}$

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

$\frac{7}{8}\times\frac{2}{2}=\frac{14}{16}$

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.

$\frac{14}{16}-\frac{3}{16}=\frac{11}{16}$

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Example Question #2 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Solve the following:

$\small \frac{1}{2}\div\frac{2}{3}$

Possible Answers:

$\small \frac{1}{3}$

$\small \frac{3}{4}$

$\small \frac{3}2{}$

$\small \frac{1}{2}$

$\small \frac{5}{6}$

Correct answer:

$\small \frac{3}{4}$

Explanation:

$\small \frac{1}{2}\div\frac{2}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{1}{2}\times\frac{3}{2}=\frac{3}{4}$

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Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{1}{7}\div\frac{2}{3}$

Possible Answers:

$\small \frac{3}{11}$

$\small \frac{3}{14}$

$\small \frac{14}{3}$

$\small \frac{21}{2}$

$\small \frac{2}{21}$

Correct answer:

$\small \frac{3}{14}$

Explanation:

$\small \frac{1}{7}\div\frac{2}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{1}{7}\times\frac{3}{2}=\frac{3}{14}$

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Example Question #524 : Number & Operations With Fractions

$\small \frac{2}{9}\div\frac{1}{2}$

Possible Answers:

$\small \frac{4}{9}$

$\small \frac{18}{2}$

$\small \frac{9}{4}$

$\small \frac{2}{18}$

$\small \frac{1}{3}$

Correct answer:

$\small \frac{4}{9}$

Explanation:

$\small \frac{2}{9}\div\frac{1}{2}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{2}{9}\times\frac{2}{1}=\frac{4}{9}$

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Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{3}{4}\div\frac{1}{5}$

Possible Answers:

$\small \frac{17}{7}$

$\small \frac{4}{15}$

$\small \frac{20}{3}$

$\small \frac{15}{4}$

$\small \frac{3}{20}$

Correct answer:

$\small \frac{15}{4}$

Explanation:

$\small \frac{3}{4}\div\frac{1}{5}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{3}{4}\times\frac{5}{1}=\frac{15}{4}$

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Example Question #2 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{3}{14}\div\frac{1}{3}$

Possible Answers:

$\small \frac{3}{42}$

$\small \frac{9}{11}$

$\small \frac{42}{3}$

$\small \frac{9}{14}$

$\small \frac{11}{9}$

Correct answer:

$\small \frac{9}{14}$

Explanation:

$\small \frac{3}{14}\div\frac{1}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{3}{14}\times\frac{3}{1}=\frac{9}{14}$

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Example Question #5 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{5}{6}\div\frac{1}{3}$

Possible Answers:

$\small \frac{7}{2}$

$\small \frac{18}{5}$

$\small \frac{5}{18}$

$\small \frac{15}{6}$

$\small \frac{6}{15}$

Correct answer:

$\small \frac{15}{6}$

Explanation:

$\small \frac{5}{6}\div\frac{1}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{5}{6}\times\frac{3}{1}=\frac{15}{6}$

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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 : Fractions

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #2424 : Operations

Example Question #2425 : Operations

Example Question #421 : Fractions

Example Question #61 : How To Subtract Fractions

Example Question #2 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #524 : Number & Operations With Fractions

Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #2 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #5 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

All ISEE Lower Level Quantitative Resources

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