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ISEE Lower Level Quantitative : How to compare 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 #392 : Fractions

Select the symbol to correctly fill in the blank below.

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

Possible Answers:

$\displaystyle =$

$\displaystyle >$

$\displaystyle < $

Correct answer:

$\displaystyle >$

Explanation:

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

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

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

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

Report an Error

Example Question #42 : 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.

$\frac{6}{10}$ $\displaystyle \frac{6}{10}$ __________ $\frac{2}{8}$ $\displaystyle \frac{2}{8}$

Possible Answers:

$\displaystyle >$

$\displaystyle =$

$\displaystyle < $

Correct answer:

$\displaystyle >$

Explanation:

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

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

$\frac{2}{8}\times\frac{5}{5}=\frac{10}{40}$ $\displaystyle \frac{2}{8}\times\frac{5}{5}=\frac{10}{40}$

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

$\frac{6}{10}>\frac{2}{8}$ $\displaystyle \frac{6}{10}>\frac{2}{8}$

Report an Error

Example Question #41 : How To Compare Fractions

Select the sign to correctly fill in the blank:

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$ __________ $\frac{2}{6}$ $\displaystyle \frac{2}{6}$

Possible Answers:

$\displaystyle >$

$\displaystyle < $

$\displaystyle =$

Correct answer:

$\displaystyle >$

Explanation:

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

$\frac{3}{8}\times\frac{3}{3}=\frac{9}{24}$ $\displaystyle \frac{3}{8}\times\frac{3}{3}=\frac{9}{24}$

$\frac{2}{6}\times\frac{4}{4}=\frac{8}{24}$ $\displaystyle \frac{2}{6}\times\frac{4}{4}=\frac{8}{24}$

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

$\frac{3}{8}>\frac{2}{6}$ $\displaystyle \frac{3}{8}>\frac{2}{6}$

Report an Error

Example Question #82 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Select the symbol to correctly fill in the blank below.

$\frac{3}{12}$ $\displaystyle \frac{3}{12}$ __________ $\frac{1}{4}$ $\displaystyle \frac{1}{4}$

Possible Answers:

$\displaystyle < $

$\displaystyle >$

$\displaystyle =$

Correct answer:

$\displaystyle =$

Explanation:

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

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

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

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

Report an Error

Example Question #83 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Select the symbol to correctly fill in the blank below.

$\frac{4}{8}$ $\displaystyle \frac{4}{8}$ __________ $\frac{8}{16}$ $\displaystyle \frac{8}{16}$

Possible Answers:

$\displaystyle < $

$\displaystyle =$

$\displaystyle >$

Correct answer:

$\displaystyle =$

Explanation:

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

$\frac{4}{8}\times\frac{2}{2}=\frac{8}{16}$ $\displaystyle \frac{4}{8}\times\frac{2}{2}=\frac{8}{16}$

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

$\frac{4}{8}=\frac{8}{16}$ $\displaystyle \frac{4}{8}=\frac{8}{16}$

Report an Error

Example Question #84 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Select the symbol to correctly fill in the blank below.

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$ __________ $\frac{6}{12}$ $\displaystyle \frac{6}{12}$

Possible Answers:

$\displaystyle < $

$\displaystyle >$

$\displaystyle =$

Correct answer:

$\displaystyle =$

Explanation:

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

$\frac{1}{2}\times\frac{6}{6}=\frac{6}{12}$ $\displaystyle \frac{1}{2}\times\frac{6}{6}=\frac{6}{12}$

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

$\frac{1}{2}=\frac{6}{12}$ $\displaystyle \frac{1}{2}=\frac{6}{12}$

Report an Error

Example Question #44 : 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.

$\frac{7}{8}$ $\displaystyle \frac{7}{8}$ __________ $\frac{3}{12}$ $\displaystyle \frac{3}{12}$

Possible Answers:

$\displaystyle >$

$\displaystyle =$

$\displaystyle < $

Correct answer:

$\displaystyle >$

Explanation:

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

$\frac{7}{8}\times\frac{3}{3}=\frac{21}{24}$ $\displaystyle \frac{7}{8}\times\frac{3}{3}=\frac{21}{24}$

$\frac{3}{12}\times\frac{2}{2}=\frac{6}{24}$ $\displaystyle \frac{3}{12}\times\frac{2}{2}=\frac{6}{24}$

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

$\frac{7}{8}>\frac{3}{12}$ $\displaystyle \frac{7}{8}>\frac{3}{12}$

Report an Error

Example Question #65 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Select the symbol to correctly fill in the blank below.

$\frac{5}{6}$ $\displaystyle \frac{5}{6}$ __________ $\frac{7}{8}$ $\displaystyle \frac{7}{8}$

Possible Answers:

$\displaystyle >$

$\displaystyle =$

$\displaystyle < $

Correct answer:

$\displaystyle < $

Explanation:

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

$\frac{5}{6}\times\frac{4}{4}=\frac{20}{24}$ $\displaystyle \frac{5}{6}\times\frac{4}{4}=\frac{20}{24}$

$\frac{7}{8}\times\frac{3}{3}=\frac{21}{24}$ $\displaystyle \frac{7}{8}\times\frac{3}{3}=\frac{21}{24}$

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

$\frac{5}{6}<\frac{7}{8}$ $\displaystyle \frac{5}{6}< \frac{7}{8}$

Report an Error

Example Question #41 : 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.

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

Possible Answers:

$\displaystyle =$

$\displaystyle >$

$\displaystyle < $

Correct answer:

$\displaystyle < $

Explanation:

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

$\frac{4}{10}\times\frac{8}{8}=\frac{32}{80}$ $\displaystyle \frac{4}{10}\times\frac{8}{8}=\frac{32}{80}$

$\frac{4}{8}\times\frac{10}{10}=\frac{40}{80}$ $\displaystyle \frac{4}{8}\times\frac{10}{10}=\frac{40}{80}$

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

$\frac{4}{10}<\frac{4}{8}$ $\displaystyle \frac{4}{10}< \frac{4}{8}$

Report an Error

Example Question #42 : How To Compare Fractions

Select the symbol to correctly fill in the blank below.

$\frac{9}{10}$ $\displaystyle \frac{9}{10}$ __________ $\frac{1}{5}$ $\displaystyle \frac{1}{5}$

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.

$\frac{9}{10}>\frac{1}{5}$ $\displaystyle \frac{9}{10}>\frac{1}{5}$

Report an Error

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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : How to compare fractions

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #392 : Fractions

Example Question #42 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Example Question #41 : How To Compare Fractions

Example Question #82 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #83 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #84 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #44 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Example Question #65 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Example Question #41 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Example Question #42 : How To Compare Fractions

All ISEE Lower Level Quantitative Resources

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