ISEE Lower Level Quantitative : How to compare fractions

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

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Example Questions

Example Question #21 : How To Compare Fractions

Select the symbol to correctly fill in the blank below. 

\(\displaystyle \frac{1}{2}\) __________\(\displaystyle \frac{2}{8}\)

Possible Answers:

\(\displaystyle =\)

\(\displaystyle >\)

\(\displaystyle < \)

Correct answer:

\(\displaystyle >\)

Explanation:

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

\(\displaystyle \frac{1}{2}\times\frac{4}{4}=\frac{4}{8}\)

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

\(\displaystyle \frac{4}{8}>\frac{2}{8}\)

Example Question #22 : How To Compare Fractions

Select the symbol to correctly fill in the blank below. 

\(\displaystyle \frac{3}{6}\) __________\(\displaystyle \frac{12}{24}\)

Possible Answers:

\(\displaystyle =\)

\(\displaystyle < \)

\(\displaystyle >\)

Correct answer:

\(\displaystyle =\)

Explanation:

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

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

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

\(\displaystyle \frac{12}{24}=\frac{12}{24}\)

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.  

\(\displaystyle \frac{8}{10}\) __________ \(\displaystyle \frac{3}{4}\)

Possible Answers:

\(\displaystyle < \)

\(\displaystyle >\)

\(\displaystyle =\)

Correct answer:

\(\displaystyle >\)

Explanation:

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

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

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

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

\(\displaystyle \frac{8}{10}>\frac{3}{4}\)

Example Question #53 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Select the symbol to correctly fill in the blank below.  

\(\displaystyle \frac{3}{8}\) __________ \(\displaystyle \frac{1}{5}\)

 

Possible Answers:

\(\displaystyle >\)

\(\displaystyle < \)

\(\displaystyle =\)

Correct answer:

\(\displaystyle >\)

Explanation:

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

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

\(\displaystyle \frac{1}{5}\times\frac{8}{8}=\frac{8}{40}\)

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

\(\displaystyle \frac{3}{8}>\frac{1}{5}\)

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.  

\(\displaystyle \frac{1}{8}\) __________ \(\displaystyle \frac{1}{6}\)

 

Possible Answers:

\(\displaystyle >\)

\(\displaystyle =\)

\(\displaystyle < \)

Correct answer:

\(\displaystyle < \)

Explanation:

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

\(\displaystyle \frac{1}{8}\times\frac{3}{3}=\frac{3}{24}\)

\(\displaystyle \frac{1}{6}\times\frac{4}{4}=\frac{4}{24}\)

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

\(\displaystyle \frac{1}{8}< \frac{1}{6}\)

Example Question #23 : How To Compare Fractions

Select the symbol to correctly fill in the blank below.  

\(\displaystyle \frac{4}{10}\) __________ \(\displaystyle \frac{1}{5}\)

Possible Answers:

\(\displaystyle =\)

\(\displaystyle < \)

\(\displaystyle >\)

Correct answer:

\(\displaystyle >\)

Explanation:

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

 

\(\displaystyle \frac{1}{5}\times\frac{2}{2}=\frac{2}{10}\)

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

\(\displaystyle \frac{4}{10}>\frac{2}{10}\)

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.  

\(\displaystyle \frac{1}{3}\) __________ \(\displaystyle \frac{3}{4}\)

Possible Answers:

\(\displaystyle >\)

\(\displaystyle < \)

\(\displaystyle =\)

Correct answer:

\(\displaystyle < \)

Explanation:

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

\(\displaystyle \frac{1}{3}\times\frac{4}{4}=\frac{4}{12}\)

\(\displaystyle \frac{3}{4}\times\frac{3}{3}=\frac{9}{12}\)

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

\(\displaystyle \frac{4}{12}< \frac{9}{12}\)

Example Question #26 : 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.  

\(\displaystyle \frac{1}{3}\) __________ \(\displaystyle \frac{4}{5}\)

 

Possible Answers:

\(\displaystyle >\)

\(\displaystyle < \)

\(\displaystyle =\)

Correct answer:

\(\displaystyle < \)

Explanation:

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

\(\displaystyle \frac{1}{3}\times\frac{5}{5}=\frac{5}{15}\)

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

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

\(\displaystyle \frac{1}{3}< \frac{4}{5}\)

Example Question #27 : 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.  

\(\displaystyle \frac{1}{3}\) __________ \(\displaystyle \frac{1}{5}\)

Possible Answers:

\(\displaystyle < \)

\(\displaystyle =\)

\(\displaystyle >\)

Correct answer:

\(\displaystyle >\)

Explanation:

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

\(\displaystyle \frac{1}{3}\times\frac{5}{5}=\frac{5}{15}\)

\(\displaystyle \frac{1}{5}\times\frac{3}{3}=\frac{3}{15}\)

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

\(\displaystyle \frac{1}{3}>\frac{1}{5}\)

Example Question #28 : 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.  

\(\displaystyle \frac{4}{5}\) __________ \(\displaystyle \frac{2}{9}\)

 

Possible Answers:

\(\displaystyle >\)

\(\displaystyle =\)

\(\displaystyle < \)

Correct answer:

\(\displaystyle >\)

Explanation:

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

\(\displaystyle \frac{4}{5}\times\frac{9}{9}=\frac{36}{45}\)

\(\displaystyle \frac{2}{9}\times\frac{5}{5}=\frac{10}{45}\)

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

\(\displaystyle \frac{4}{5}>\frac{2}{9}\)

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