SSAT Upper Level Math : Rational Numbers

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

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. 

\(\displaystyle \frac{1}{2}\) __________\(\displaystyle \frac{6}{12}\)

Possible Answers:

\(\displaystyle >\)

\(\displaystyle =\)

\(\displaystyle < \)

Correct answer:

\(\displaystyle =\)

Explanation:

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

\(\displaystyle \frac{1}{2}\times\frac{6}{6}=\frac{6}{12}\)

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

\(\displaystyle \frac{6}{12}=\frac{6}{12}\)

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. 

\(\displaystyle \frac{5}{7}\) __________\(\displaystyle \frac{1}{3}\)

Possible Answers:

\(\displaystyle >\)

\(\displaystyle < \)

\(\displaystyle =\)

Correct answer:

\(\displaystyle >\)

Explanation:

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

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

\(\displaystyle \frac{1}{3}\times\frac{7}{7}=\frac{7}{21}\)

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

\(\displaystyle \frac{15}{21}>\frac{7}{21}\)

Example Question #331 : Rational Numbers

Select the symbol to correctly fill in the blank below. 

\(\displaystyle \frac{2}{3}\)__________\(\displaystyle \frac{4}{5}\)

Possible Answers:

\(\displaystyle =\)

\(\displaystyle >\)

\(\displaystyle < \)

Correct answer:

\(\displaystyle < \)

Explanation:

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

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

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

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

\(\displaystyle \frac{10}{15}< \frac{12}{15}\)

Example Question #6 : 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. 

\(\displaystyle \frac{5}{10}\) __________\(\displaystyle \frac{1}{2}\)

Possible Answers:

\(\displaystyle =\)

\(\displaystyle >\)

\(\displaystyle < \)

Correct answer:

\(\displaystyle =\)

Explanation:

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

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

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

\(\displaystyle \frac{5}{10}=\frac{5}{10}\)

Example Question #7 : 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. 

\(\displaystyle \frac{7}{8}\) __________\(\displaystyle \frac{2}{5}\)

Possible Answers:

\(\displaystyle =\)

\(\displaystyle >\)

\(\displaystyle < \)

Correct answer:

\(\displaystyle >\)

Explanation:

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

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

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

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

\(\displaystyle \frac{35}{40}>\frac{16}{40}\)

Example Question #8 : 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. 

\(\displaystyle \frac{1}{2}\) __________\(\displaystyle \frac{3}{4}\)

Possible Answers:

\(\displaystyle < \)

\(\displaystyle >\)

\(\displaystyle =\)

Correct answer:

\(\displaystyle < \)

Explanation:

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

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

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

\(\displaystyle \frac{2}{4}< \frac{3}{4}\)

Example Question #9 : 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. 

\(\displaystyle \frac{6}{12}\) __________\(\displaystyle \frac{5}{10}\)

 

Possible Answers:

\(\displaystyle < \)

\(\displaystyle =\)

\(\displaystyle >\)

Correct answer:

\(\displaystyle =\)

Explanation:

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

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

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

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

\(\displaystyle \frac{60}{120}=\frac{60}{120}\)

Example Question #10 : 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. 

\(\displaystyle \frac{1}{2}\) __________\(\displaystyle \frac{1}{6}\)

Possible Answers:

\(\displaystyle =\)

\(\displaystyle < \)

\(\displaystyle >\)

Correct answer:

\(\displaystyle >\)

Explanation:

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

\(\displaystyle \frac{1}{2}\times\frac{3}{3}=\frac{3}{6}\)

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

\(\displaystyle \frac{3}{6}>\frac{1}{6}\)

Example Question #31 : Number & Operations: €”Fractions

Select the symbol to correctly fill in the blank below. 

\(\displaystyle \frac{3}{9}\) __________\(\displaystyle \frac{2}{3}\)

Possible Answers:

\(\displaystyle >\)

\(\displaystyle =\)

\(\displaystyle < \)

Correct answer:

\(\displaystyle < \)

Explanation:

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

\(\displaystyle \frac{2}{3}\times\frac{3}{3}=\frac{6}{9}\)

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

\(\displaystyle \frac{3}{9}< \frac{6}{9}\)

Example Question #491 : Common Core Math: Grade 4

Select the symbol to correctly fill in the blank below. 

\(\displaystyle \frac{3}{6}\) __________\(\displaystyle \frac{5}{10}\)

Possible Answers:

\(\displaystyle >\)

\(\displaystyle < \)

\(\displaystyle =\)

Correct answer:

\(\displaystyle =\)

Explanation:

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

\(\displaystyle \frac{3}{6}\times\frac{10}{10}=\frac{30}{60}\)

\(\displaystyle \frac{5}{10}\times\frac{6}{6}=\frac{30}{60}\)

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

\(\displaystyle \frac{30}{60}=\frac{30}{60}\)

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