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ISEE Lower Level Quantitative : ISEE Lower Level (grades 5-6) Quantitative Reasoning

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 #16 : How To Compare Fractions

Select the symbol to correctly fill in the blank below.

$\frac{5}{10}$ $\displaystyle \frac{5}{10}$ __________ $\frac{1}{8}$ $\displaystyle \frac{1}{8}$

Possible Answers:

$\displaystyle < $

$\displaystyle =$

$\displaystyle >$

Correct answer:

$\displaystyle >$

Explanation:

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

$\frac{5}{10}\times\frac{8}{8}=\frac{40}{80}$ $\displaystyle \frac{5}{10}\times\frac{8}{8}=\frac{40}{80}$

$\frac{1}{8}\times\frac{10}{10}=\frac{10}{80}$ $\displaystyle \frac{1}{8}\times\frac{10}{10}=\frac{10}{80}$

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

$\frac{40}{80}>\frac{10}{80}$ $\displaystyle \frac{40}{80}>\frac{10}{80}$

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Example Question #16 : How To Compare Fractions

Select the symbol to correctly fill in the blank below.

$\frac{4}{6}$ $\displaystyle \frac{4}{6}$ __________ $\frac{11}{12}$ $\displaystyle \frac{11}{12}$

Possible Answers:

$\displaystyle < $

$\displaystyle >$

$\displaystyle =$

Correct answer:

$\displaystyle < $

Explanation:

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

$\frac{4}{6}\times\frac{2}{2}=\frac{8}{12}$ $\displaystyle \frac{4}{6}\times\frac{2}{2}=\frac{8}{12}$

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

$\frac{8}{12}<\frac{11}{12}$ $\displaystyle \frac{8}{12}< \frac{11}{12}$

Report an Error

Example Question #345 : Fractions

Select the symbol to correctly fill in the blank below.

$\frac{6}{12}$ $\displaystyle \frac{6}{12}$ __________ $\frac{3}{6}$ $\displaystyle \frac{3}{6}$

Possible Answers:

$\displaystyle >$

$\displaystyle =$

$\displaystyle < $

Correct answer:

$\displaystyle =$

Explanation:

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

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

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

$\frac{6}{12}=\frac{6}{12}$ $\displaystyle \frac{6}{12}=\frac{6}{12}$

Report an Error

Example Question #41 : Extend Understanding Of Fraction Equivalence And Ordering

Select the symbol to correctly fill in the blank below.

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$ __________ $\frac{2}{8}$ $\displaystyle \frac{2}{8}$

Possible Answers:

$\displaystyle =$

$\displaystyle >$

$\displaystyle < $

Correct answer:

$\displaystyle >$

Explanation:

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

$\frac{1}{2}\times\frac{4}{4}=\frac{4}{8}$ $\displaystyle \frac{1}{2}\times\frac{4}{4}=\frac{4}{8}$

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

$\frac{4}{8}>\frac{2}{8}$ $\displaystyle \frac{4}{8}>\frac{2}{8}$

Report an Error

Example Question #352 : Fractions

Select the symbol to correctly fill in the blank below.

$\frac{3}{6}$ $\displaystyle \frac{3}{6}$ __________ $\frac{12}{24}$ $\displaystyle \frac{12}{24}$

Possible Answers:

$\displaystyle < $

$\displaystyle >$

$\displaystyle =$

Correct answer:

$\displaystyle =$

Explanation:

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

$\frac{3}{6}\times\frac{4}{4}=\frac{12}{24}$ $\displaystyle \frac{3}{6}\times\frac{4}{4}=\frac{12}{24}$

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

$\frac{12}{24}=\frac{12}{24}$ $\displaystyle \frac{12}{24}=\frac{12}{24}$

Report an Error

Example Question #23 : 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.

$\frac{8}{10}$ $\displaystyle \frac{8}{10}$ __________ $\frac{3}{4}$ $\displaystyle \frac{3}{4}$

Possible Answers:

$\displaystyle < $

$\displaystyle >$

$\displaystyle =$

Correct answer:

$\displaystyle >$

Explanation:

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

$\frac{8}{10}\times\frac{2}{2}=\frac{16}{20}$ $\displaystyle \frac{8}{10}\times\frac{2}{2}=\frac{16}{20}$

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

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

$\frac{8}{10}>\frac{3}{4}$ $\displaystyle \frac{8}{10}>\frac{3}{4}$

Report an Error

Example Question #22 : How To Compare Fractions

Select the symbol to correctly fill in the blank below.

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$ __________ $\frac{1}{5}$ $\displaystyle \frac{1}{5}$

Possible Answers:

$\displaystyle >$

$\displaystyle =$

$\displaystyle < $

Correct answer:

$\displaystyle >$

Explanation:

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

$\frac{3}{8}\times\frac{5}{5}=\frac{15}{40}$ $\displaystyle \frac{3}{8}\times\frac{5}{5}=\frac{15}{40}$

$\frac{1}{5}\times\frac{8}{8}=\frac{8}{40}$ $\displaystyle \frac{1}{5}\times\frac{8}{8}=\frac{8}{40}$

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

$\frac{3}{8}>\frac{1}{5}$ $\displaystyle \frac{3}{8}>\frac{1}{5}$

Report an Error

Example Question #54 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Select the symbol to correctly fill in the blank below.

$\frac{1}{8}$ $\displaystyle \frac{1}{8}$ __________ $\frac{1}{6}$ $\displaystyle \frac{1}{6}$

Possible Answers:

$\displaystyle >$

$\displaystyle =$

$\displaystyle < $

Correct answer:

$\displaystyle < $

Explanation:

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

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

$\frac{1}{6}\times\frac{4}{4}=\frac{4}{24}$ $\displaystyle \frac{1}{6}\times\frac{4}{4}=\frac{4}{24}$

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

$\frac{1}{8}<\frac{1}{6}$ $\displaystyle \frac{1}{8}< \frac{1}{6}$

Report an Error

Example Question #23 : How To Compare Fractions

Select the symbol to correctly fill in the blank below.

$\frac{4}{10}$ $\displaystyle \frac{4}{10}$ __________ $\frac{1}{5}$ $\displaystyle \frac{1}{5}$

Possible Answers:

$\displaystyle =$

$\displaystyle >$

$\displaystyle < $

Correct answer:

$\displaystyle >$

Explanation:

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

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

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

$\frac{4}{10}>\frac{2}{10}$ $\displaystyle \frac{4}{10}>\frac{2}{10}$

Report an Error

Example Question #25 : 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.

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$ __________ $\frac{3}{4}$ $\displaystyle \frac{3}{4}$

Possible Answers:

$\displaystyle >$

$\displaystyle < $

$\displaystyle =$

Correct answer:

$\displaystyle < $

Explanation:

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

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

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

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

$\frac{4}{12}<\frac{9}{12}$ $\displaystyle \frac{4}{12}< \frac{9}{12}$

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 : ISEE Lower Level (grades 5-6) Quantitative Reasoning

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #16 : How To Compare Fractions

Example Question #16 : How To Compare Fractions

Example Question #345 : Fractions

Example Question #41 : Extend Understanding Of Fraction Equivalence And Ordering

Example Question #352 : Fractions

Example Question #23 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Example Question #22 : How To Compare Fractions

Example Question #54 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #23 : How To Compare Fractions

Example Question #25 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

All ISEE Lower Level Quantitative Resources

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