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Common Core: 4th Grade Math : Compare Two Fractions with Different Numerators and Different Denominators: CCSS.Math.Content.4.NF.A.2

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Example Questions

Example Question #1 : 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.

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

Possible Answers:

$\displaystyle < $

$\displaystyle =$

$\displaystyle >$

Correct answer:

$\displaystyle >$

Explanation:

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

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

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

$\frac{4}{8}>\frac{1}{8}$ $\displaystyle \frac{4}{8}>\frac{1}{8}$

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Example Question #2 : 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.

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$ __________ $\frac{7}{8}$ $\displaystyle \frac{7}{8}$

Possible Answers:

$\displaystyle < $

$\displaystyle =$

$\displaystyle >$

Correct answer:

$\displaystyle < $

Explanation:

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

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

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

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

Report an Error

Example Question #3 : 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.

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

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.

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

Report an Error

Example Question #4 : 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.

$\frac{5}{7}$ $\displaystyle \frac{5}{7}$ __________ $\frac{1}{3}$ $\displaystyle \frac{1}{3}$

Possible Answers:

$\displaystyle >$

$\displaystyle =$

$\displaystyle < $

Correct answer:

$\displaystyle >$

Explanation:

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

$\frac{5}{7}\times\frac{3}{3}=\frac{15}{21}$ $\displaystyle \frac{5}{7}\times\frac{3}{3}=\frac{15}{21}$

$\frac{1}{3}\times\frac{7}{7}=\frac{7}{21}$ $\displaystyle \frac{1}{3}\times\frac{7}{7}=\frac{7}{21}$

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

$\frac{15}{21}>\frac{7}{21}$ $\displaystyle \frac{15}{21}>\frac{7}{21}$

Report an Error

Example Question #22 : Extend Understanding Of Fraction Equivalence And Ordering

Select the symbol to correctly fill in the blank below.

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

Possible Answers:

$\displaystyle >$

$\displaystyle < $

$\displaystyle =$

Correct answer:

$\displaystyle < $

Explanation:

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

$\frac{2}{3}\times\frac{5}{5}=\frac{10}{15}$ $\displaystyle \frac{2}{3}\times\frac{5}{5}=\frac{10}{15}$

$\frac{4}{5}\times\frac{3}{3}=\frac{12}{15}$ $\displaystyle \frac{4}{5}\times\frac{3}{3}=\frac{12}{15}$

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

$\frac{10}{15}<\frac{12}{15}$ $\displaystyle \frac{10}{15}< \frac{12}{15}$

Report an Error

Example Question #23 : Extend Understanding Of Fraction Equivalence And Ordering

Select the symbol to correctly fill in the blank below.

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

Possible Answers:

$\displaystyle >$

$\displaystyle =$

$\displaystyle < $

Correct answer:

$\displaystyle =$

Explanation:

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

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

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

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

Report an Error

Example Question #4 : 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.

$\frac{7}{8}$ $\displaystyle \frac{7}{8}$ __________ $\frac{2}{5}$ $\displaystyle \frac{2}{5}$

Possible Answers:

$\displaystyle =$

$\displaystyle >$

$\displaystyle < $

Correct answer:

$\displaystyle >$

Explanation:

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

$\frac{7}{8}\times\frac{5}{5}=\frac{35}{40}$ $\displaystyle \frac{7}{8}\times\frac{5}{5}=\frac{35}{40}$

$\frac{2}{5}\times\frac{8}{8}=\frac{16}{40}$ $\displaystyle \frac{2}{5}\times\frac{8}{8}=\frac{16}{40}$

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

$\frac{35}{40}>\frac{16}{40}$ $\displaystyle \frac{35}{40}>\frac{16}{40}$

Report an Error

Example Question #5 : 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.

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$ __________ $\frac{3}{4}$ $\displaystyle \frac{3}{4}$

Possible Answers:

$\displaystyle =$

$\displaystyle >$

$\displaystyle < $

Correct answer:

$\displaystyle < $

Explanation:

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

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

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

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

Report an Error

Example Question #1 : 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.

$\frac{6}{12}$ $\displaystyle \frac{6}{12}$ __________ $\frac{5}{10}$ $\displaystyle \frac{5}{10}$

Possible Answers:

$\displaystyle < $

$\displaystyle =$

$\displaystyle >$

Correct answer:

$\displaystyle =$

Explanation:

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

$\frac{6}{12}\times\frac{10}{10}=\frac{60}{120}$ $\displaystyle \frac{6}{12}\times\frac{10}{10}=\frac{60}{120}$

$\frac{5}{10}\times\frac{12}{12}=\frac{60}{120}$ $\displaystyle \frac{5}{10}\times\frac{12}{12}=\frac{60}{120}$

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

$\frac{60}{120}=\frac{60}{120}$ $\displaystyle \frac{60}{120}=\frac{60}{120}$

Report an Error

Example Question #34 : Extend Understanding Of Fraction Equivalence And Ordering

Select the symbol to correctly fill in the blank below.

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

Possible Answers:

$\displaystyle =$

$\displaystyle >$

$\displaystyle < $

Correct answer:

$\displaystyle >$

Explanation:

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

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

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

$\frac{3}{6}>\frac{1}{6}$ $\displaystyle \frac{3}{6}>\frac{1}{6}$

Report an Error

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All Common Core: 4th Grade Math Resources

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Common Core: 4th Grade Math : Compare Two Fractions with Different Numerators and Different Denominators: CCSS.Math.Content.4.NF.A.2

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #1 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

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

Example Question #3 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

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

Example Question #22 : Extend Understanding Of Fraction Equivalence And Ordering

Example Question #23 : Extend Understanding Of Fraction Equivalence And Ordering

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

Example Question #5 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Example Question #1 : Compare Two Fractions With Different Numerators And Different Denominators: Ccss.Math.Content.4.Nf.A.2

Example Question #34 : Extend Understanding Of Fraction Equivalence And Ordering

All Common Core: 4th Grade Math Resources

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