Rational Numbers - SSAT Upper Level Quantitative

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Question

Select the symbol to correctly fill in the blank below.

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

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Answer

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

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

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

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

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Question

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

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Answer

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

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

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

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

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Question

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

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Answer

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

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

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

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

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Question

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

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Answer

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

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

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

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

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

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Question

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

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Answer

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

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

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

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

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

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Question

Write $7\frac{8}{9}$ as an improper fraction.

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Answer

To change a mixed number to an improper fraction, keep the denominator.

Then, multiply the whole number by the denominator and add that to the given numerator.

$7\frac{8}{9}=\frac{7\times9+8}{9}=\frac{71}{9}$

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Question

Write $10\frac{4}{7}$ as an improper fraction.

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Answer

To change a mixed number to an improper fraction, keep the denominator.

Then, multiply the whole number by the denominator and add that to the given numerator.

$10\frac{4}{7}=\frac{10\times7+4}{7}=\frac{74}{7}$

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Question

Write $10\frac{3}{8}$ as an improper fraction.

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Answer

To change a mixed number to an improper fraction, keep the denominator.

Then, multiply the whole number by the denominator and add that to the given numerator.

$10\frac{3}{8}=\frac{10\times8+3}{8}=\frac{83}{8}$

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Question

Convert into a fraction.

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Answer

Put the number over and drop the percent sign. Then, reduce to simplest form.

$62%=\frac{62}{100}=\frac{31}{50}$

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Question

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

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Answer

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

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

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

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

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Question

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

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Answer

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

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

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

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

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

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Question

Select the symbol to correctly fill in the blank below.

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

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Answer

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

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

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

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

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Question

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

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Answer

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

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

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

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

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

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Question

Select the symbol to correctly fill in the blank below.

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

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Answer

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

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

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

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

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Question

Select the symbol to correctly fill in the blank below.

$\frac{3}{9}$ $\frac{2}{3}$

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Answer

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

$\frac{2}{3}\times\frac{3}{3}=\frac{6}{9}$

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

$\frac{3}{9}<\frac{6}{9}$

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Question

Select the symbol to correctly fill in the blank below.

$\frac{3}{6}$ $\frac{5}{10}$

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Answer

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

$\frac{3}{6}\times\frac{10}{10}=\frac{30}{60}$

$\frac{5}{10}\times\frac{6}{6}=\frac{30}{60}$

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

$\frac{30}{60}=\frac{30}{60}$

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Question

Select the symbol to correctly fill in the blank below.

$\frac{5}{12}$ $\frac{1}{3}$

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Answer

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

$\frac{1}{3}\times\frac{4}{4}=\frac{4}{12}$

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

$\frac{5}{12}>\frac{4}{12}$

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Question

Select the symbol to correctly fill in the blank below.

$\frac{1}{2}$ $\frac{7}{8}$

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Answer

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

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

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

$\frac{4}{8}<\frac{7}{8}$

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Question

Select the symbol to correctly fill in the blank below.

$\frac{1}{2}$ $\frac{8}{16}$

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Answer

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

$\frac{1}{2}\times\frac{8}{8}=\frac{8}{16}$

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

$\frac{8}{16}=\frac{8}{16}$

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Question

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$\frac{6}{13}$ $\frac{3}{26}$

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Answer

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

$\frac{6}{13}\times\frac{2}{2}=\frac{12}{26}$

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

$\frac{12}{26}>\frac{3}{26}$

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