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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 #22 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Select the symbol to correctly fill in the blank below.

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$ __________ $\frac{1}{5}$ $\displaystyle \frac{1}{5}$

Possible Answers:

$\displaystyle =$

$\displaystyle < $

$\displaystyle >$

Correct answer:

$\displaystyle >$

Explanation:

To compare fractions, we need to first make common denominators.

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

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

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{1}{3}>\frac{1}{5}$ $\displaystyle \frac{1}{3}>\frac{1}{5}$

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Example Question #51 : Extend Understanding Of Fraction Equivalence And Ordering

Select the symbol to correctly fill in the blank below.

$\frac{4}{5}$ $\displaystyle \frac{4}{5}$ __________ $\frac{2}{9}$ $\displaystyle \frac{2}{9}$

Possible Answers:

$\displaystyle =$

$\displaystyle >$

$\displaystyle < $

Correct answer:

$\displaystyle >$

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{4}{5}\times\frac{9}{9}=\frac{36}{45}$ $\displaystyle \frac{4}{5}\times\frac{9}{9}=\frac{36}{45}$

$\frac{2}{9}\times\frac{5}{5}=\frac{10}{45}$ $\displaystyle \frac{2}{9}\times\frac{5}{5}=\frac{10}{45}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{4}{5}>\frac{2}{9}$ $\displaystyle \frac{4}{5}>\frac{2}{9}$

Report an Error

Example Question #31 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Select the symbol to correctly fill in the blank below.

$\frac{1}{10}$ $\displaystyle \frac{1}{10}$ __________ $\frac{2}{3}$ $\displaystyle \frac{2}{3}$

Possible Answers:

$\displaystyle >$

$\displaystyle < $

$\displaystyle =$

Correct answer:

$\displaystyle < $

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{1}{10}\times\frac{3}{3}=\frac{3}{30}$ $\displaystyle \frac{1}{10}\times\frac{3}{3}=\frac{3}{30}$

$\frac{2}{3}\times\frac{10}{10}=\frac{20}{30}$ $\displaystyle \frac{2}{3}\times\frac{10}{10}=\frac{20}{30}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{1}{10}<\frac{2}{3}$ $\displaystyle \frac{1}{10}< \frac{2}{3}$

Report an Error

Example Question #2761 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Select the symbol to correctly fill in the blank below.

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$ __________ $\frac{2}{4}$ $\displaystyle \frac{2}{4}$

Possible Answers:

$\displaystyle < $

$\displaystyle >$

$\displaystyle =$

Correct answer:

$\displaystyle =$

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{1}{2}\times\frac{2}{2}=\frac{2}{4}$ $\displaystyle \frac{1}{2}\times\frac{2}{2}=\frac{2}{4}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{1}{2}=\frac{2}{4}$ $\displaystyle \frac{1}{2}=\frac{2}{4}$

Report an Error

Example Question #1721 : Numbers And Operations

Select the symbol to correctly fill in the blank below.

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$ __________ $\frac{2}{10}$ $\displaystyle \frac{2}{10}$

Possible Answers:

$\displaystyle >$

$\displaystyle < $

$\displaystyle =$

Correct answer:

$\displaystyle =$

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{1}{5}\times\frac{2}{2}=\frac{2}{10}$ $\displaystyle \frac{1}{5}\times\frac{2}{2}=\frac{2}{10}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{1}{5}=\frac{2}{10}$ $\displaystyle \frac{1}{5}=\frac{2}{10}$

Report an Error

Example Question #34 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Select the symbol to correctly fill in the blank below.

$\frac{2}{5}$ $\displaystyle \frac{2}{5}$ __________ $\frac{3}{4}$ $\displaystyle \frac{3}{4}$

Possible Answers:

$\displaystyle =$

$\displaystyle >$

$\displaystyle < $

Correct answer:

$\displaystyle < $

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{2}{5}\times\frac{4}{4}=\frac{8}{20}$ $\displaystyle \frac{2}{5}\times\frac{4}{4}=\frac{8}{20}$

$\frac{3}{4}\times\frac{5}{5}=\frac{15}{20}$ $\displaystyle \frac{3}{4}\times\frac{5}{5}=\frac{15}{20}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{2}{5}<\frac{3}{4}$ $\displaystyle \frac{2}{5}< \frac{3}{4}$

Report an Error

Example Question #35 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Select the symbol to correctly fill in the blank below.

$\frac{1}{6}$ $\displaystyle \frac{1}{6}$ __________ $\frac{4}{10}$ $\displaystyle \frac{4}{10}$

Possible Answers:

$\displaystyle < $

$\displaystyle =$

$\displaystyle >$

Correct answer:

$\displaystyle < $

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{1}{6}\times\frac{5}{5}=\frac{5}{30}$ $\displaystyle \frac{1}{6}\times\frac{5}{5}=\frac{5}{30}$

$\frac{4}{10}\times\frac{3}{3}=\frac{12}{30}$ $\displaystyle \frac{4}{10}\times\frac{3}{3}=\frac{12}{30}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{1}{6}<\frac{4}{10}$ $\displaystyle \frac{1}{6}< \frac{4}{10}$

Report an Error

Example Question #36 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Select the symbol to correctly fill in the blank below.

$\frac{6}{10}$ $\displaystyle \frac{6}{10}$ __________ $\frac{5}{8}$ $\displaystyle \frac{5}{8}$

Possible Answers:

$\displaystyle >$

$\displaystyle =$

$\displaystyle < $

Correct answer:

$\displaystyle < $

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{6}{10}\times\frac{4}{4}=\frac{24}{40}$ $\displaystyle \frac{6}{10}\times\frac{4}{4}=\frac{24}{40}$

$\frac{5}{8}\times\frac{5}{5}=\frac{25}{40}$ $\displaystyle \frac{5}{8}\times\frac{5}{5}=\frac{25}{40}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{6}{10}<\frac{5}{8}$ $\displaystyle \frac{6}{10}< \frac{5}{8}$

Report an Error

Example Question #31 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Select the symbol to correctly fill in the blank below.

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$ __________ $\frac{3}{6}$ $\displaystyle \frac{3}{6}$

Possible Answers:

$\displaystyle =$

$\displaystyle >$

$\displaystyle < $

Correct answer:

$\displaystyle >$

Explanation:

To compare fractions, we need to first make common denominators.

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

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

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{3}{4}>\frac{3}{6}$ $\displaystyle \frac{3}{4}>\frac{3}{6}$

Report an Error

Example Question #1722 : Numbers And Operations

Select the symbol to correctly fill in the blank below.

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$ __________ $\frac{2}{5}$ $\displaystyle \frac{2}{5}$

Possible Answers:

$\displaystyle =$

$\displaystyle < $

$\displaystyle >$

Correct answer:

$\displaystyle >$

Explanation:

To compare fractions, we need to first make common denominators.

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

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{7}{10}>\frac{2}{5}$ $\displaystyle \frac{7}{10}>\frac{2}{5}$

Report an Error

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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 #22 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Example Question #51 : Extend Understanding Of Fraction Equivalence And Ordering

Example Question #31 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Example Question #2761 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #1721 : Numbers And Operations

Example Question #34 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Example Question #35 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Example Question #36 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Example Question #31 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Example Question #1722 : Numbers And Operations

All ISEE Lower Level Quantitative Resources

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