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Common Core: 4th Grade Math : Extend understanding of fraction equivalence and ordering

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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All Common Core: 4th Grade Math Resources

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Example Questions

Example Question #494 : Common Core Math: Grade 4

Select the symbol to correctly fill in the blank below.

$\frac{3}{6}$ $\displaystyle \frac{3}{6}$ __________ $\frac{7}{14}$ $\displaystyle \frac{7}{14}$

Possible Answers:

$\displaystyle < $

$\displaystyle =$

$\displaystyle >$

Correct answer:

$\displaystyle =$

Explanation:

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

$\frac{3}{6}\times\frac{14}{14}=\frac{42}{84}$ $\displaystyle \frac{3}{6}\times\frac{14}{14}=\frac{42}{84}$

$\frac{7}{14}\times\frac{6}{6}=\frac{42}{84}$ $\displaystyle \frac{7}{14}\times\frac{6}{6}=\frac{42}{84}$

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

$\frac{42}{84}=\frac{42}{84}$ $\displaystyle \frac{42}{84}=\frac{42}{84}$

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

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 #42 : Extend Understanding Of Fraction Equivalence And Ordering

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.

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

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Example Question #43 : Extend Understanding Of Fraction Equivalence And Ordering

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.

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

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Example Question #44 : 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.

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

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Example Question #45 : Extend Understanding Of Fraction Equivalence And Ordering

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.

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

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Example Question #2752 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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.

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

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Example Question #361 : 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.

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

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Example Question #2753 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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 #2754 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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

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Common Core: 4th Grade Math : Extend understanding of fraction equivalence and ordering

Study concepts, example questions & explanations for Common Core: 4th Grade Math

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #494 : Common Core Math: Grade 4

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

Example Question #42 : Extend Understanding Of Fraction Equivalence And Ordering

Example Question #43 : Extend Understanding Of Fraction Equivalence And Ordering

Example Question #44 : Extend Understanding Of Fraction Equivalence And Ordering

Example Question #45 : Extend Understanding Of Fraction Equivalence And Ordering

Example Question #2752 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #361 : Fractions

Example Question #2753 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #2754 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

All Common Core: 4th Grade Math Resources

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