How to compare fractions

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ISEE Lower Level Quantitative Reasoning › How to compare fractions

Questions 1 - 10

Select the symbol to correctly fill in the blank below.

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

Explanation

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.

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

Select the symbol to correctly fill in the blank below.

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

Explanation

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.

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

Select the symbol to correctly fill in the blank below.

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

Explanation

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.

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

Select the symbol to correctly fill in the blank below.

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

Explanation

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.

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

Select the symbol to correctly fill in the blank below.

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

Explanation

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

$\frac{5}{6}\times\frac{2}{2}=\frac{10}{12}$

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

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

Select the symbol to correctly fill in the blank below.

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

Explanation

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.

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

Select the symbol to correctly fill in the blank below.

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

Explanation

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.

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

Select the symbol to correctly fill in the blank below.

$\frac{4}{5}$ __________ $\frac{2}{9}$

Explanation

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

$\frac{4}{5}\times\frac{9}{9}=\frac{36}{45}$

$\frac{2}{9}\times\frac{5}{5}=\frac{10}{45}$

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

$\frac{4}{5}>\frac{2}{9}$

Select the symbol to correctly fill in the blank below.

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

Explanation

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.

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

Select the symbol to correctly fill in the blank below.

$\frac{3}{6}$ __________ $\frac{12}{24}$

Explanation

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

$\frac{3}{6}\times\frac{4}{4}=\frac{12}{24}$

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

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

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