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ISEE Lower Level Quantitative : Numbers and Operations

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 #71 : Ordering Fractions

Select the symbol to correctly fill in the blank below.

$\frac{8}{10}$ $\displaystyle \frac{8}{10}$ __________ $\frac{1}{6}$ $\displaystyle \frac{1}{6}$

Possible Answers:

$\displaystyle =$

$\displaystyle < $

$\displaystyle >$

Correct answer:

$\displaystyle >$

Explanation:

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

$\frac{8}{10}\times\frac{3}{3}=\frac{24}{30}$ $\displaystyle \frac{8}{10}\times\frac{3}{3}=\frac{24}{30}$

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

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

$\frac{8}{10}>\frac{1}{6}$ $\displaystyle \frac{8}{10}>\frac{1}{6}$

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Example Question #72 : Ordering Fractions

Select the symbol to correctly fill in the blank below.

$\frac{8}{10}$ $\displaystyle \frac{8}{10}$ __________ $\frac{16}{20}$ $\displaystyle \frac{16}{20}$

Possible Answers:

$\displaystyle >$

$\displaystyle < $

$\displaystyle =$

Correct answer:

$\displaystyle =$

Explanation:

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

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

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

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

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Example Question #73 : Ordering Fractions

Select the symbol to correctly fill in the blank below.

$\frac{3}{6}$ $\displaystyle \frac{3}{6}$ __________ $\frac{1}{2}$ $\displaystyle \frac{1}{2}$

Possible Answers:

$\displaystyle =$

$\displaystyle < $

$\displaystyle >$

Correct answer:

$\displaystyle =$

Explanation:

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

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

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

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

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Example Question #74 : Ordering Fractions

Select the symbol to correctly fill in the blank below.

$\frac{2}{8}$ $\displaystyle \frac{2}{8}$ __________ $\frac{3}{4}$ $\displaystyle \frac{3}{4}$

Possible Answers:

$\displaystyle < $

$\displaystyle =$

$\displaystyle >$

Correct answer:

$\displaystyle < $

Explanation:

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

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

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

$\frac{2}{8}<\frac{3}{4}$ $\displaystyle \frac{2}{8}< \frac{3}{4}$

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Example Question #75 : Ordering Fractions

Select the symbol to correctly fill in the blank below.

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$ __________ $\frac{4}{6}$ $\displaystyle \frac{4}{6}$

Possible Answers:

$\displaystyle < $

$\displaystyle >$

$\displaystyle =$

Correct answer:

$\displaystyle < $

Explanation:

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

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

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

$\frac{1}{3}<\frac{4}{6}$ $\displaystyle \frac{1}{3}< \frac{4}{6}$

Report an Error

Example Question #76 : Ordering Fractions

Select the symbol to correctly fill in the blank below.

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

Possible Answers:

$\displaystyle =$

$\displaystyle < $

$\displaystyle >$

Correct answer:

$\displaystyle < $

Explanation:

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

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

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

$\frac{1}{12}<\frac{1}{6}$ $\displaystyle \frac{1}{12}< \frac{1}{6}$

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Example Question #4483 : Ssat Elementary Level Quantitative (Math)

What fraction is equivalent to $\frac{1}{2}?$ $\displaystyle \frac{1}{2}?$

Possible Answers:

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

$\frac{5}{6}$ $\displaystyle \frac{5}{6}$

$\frac{2}{6}$ $\displaystyle \frac{2}{6}$

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

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

Correct answer:

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

Explanation:

The two lines above are the same length. The top line is split into $\displaystyle 2$ pieces and the bottom line is split into $\displaystyle 6$ pieces.

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$ and $\frac{3}{6}$ $\displaystyle \frac{3}{6}$ are equivalent because they occupy the same position on the number line.

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Example Question #1741 : Numbers And Operations

What fraction is equivalent to $\frac{1}{2}?$ $\displaystyle \frac{1}{2}?$

Possible Answers:

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

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

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

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

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

Correct answer:

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

Explanation:

The two lines above are the same length. The top line is split into $\displaystyle 2$ pieces and the bottom line is split into $\displaystyle 4$ pieces.

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$ and $\frac{2}{4}$ $\displaystyle \frac{2}{4}$ are equivalent because they occupy the same position on the number line.

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Example Question #1742 : Numbers And Operations

What fraction is equivalent to $\frac{1}{2}?$ $\displaystyle \frac{1}{2}?$

Possible Answers:

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

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

$\frac{2}{12}$ $\displaystyle \frac{2}{12}$

$\frac{10}{12}$ $\displaystyle \frac{10}{12}$

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

Correct answer:

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

Explanation:

The two lines above are the same length. The top line is split into $\displaystyle 2$ pieces and the bottom line is split into $\displaystyle 12$ pieces.

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$ and $\frac{6}{12}$ $\displaystyle \frac{6}{12}$ are equivalent because they occupy the same position on the number line.

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Example Question #1743 : Numbers And Operations

What fraction is equivalent to $\frac{1}{2}?$ $\displaystyle \frac{1}{2}?$

Possible Answers:

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

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

$\frac{8}{8}$ $\displaystyle \frac{8}{8}$

$\frac{7}{8}$ $\displaystyle \frac{7}{8}$

$\frac{5}{8}$ $\displaystyle \frac{5}{8}$

Correct answer:

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

Explanation:

The two lines above are the same length. The top line is split into $\displaystyle 2$ pieces and the bottom line is split into $\displaystyle 8$ pieces.

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$ and $\frac{4}{8}$ $\displaystyle \frac{4}{8}$ are equivalent because they occupy the same position on the number line.

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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 : Numbers and Operations

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #71 : Ordering Fractions

Example Question #72 : Ordering Fractions

Example Question #73 : Ordering Fractions

Example Question #74 : Ordering Fractions

Example Question #75 : Ordering Fractions

Example Question #76 : Ordering Fractions

Example Question #4483 : Ssat Elementary Level Quantitative (Math)

Example Question #1741 : Numbers And Operations

Example Question #1742 : Numbers And Operations

Example Question #1743 : Numbers And Operations

All ISEE Lower Level Quantitative Resources

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