SSAT Upper Level Quantitative - How to order fractions from least to greatest or from greatest to least

Order the following fractions from least to greatest:

$\frac{1}{2}, \frac{9}{10}, \frac{3}{4}, \frac{5}{7}$

$\frac{1}{2}, \frac{5}{7}, \frac{3}{4}, \frac{9}{10}$

$\frac{9}{10}, \frac{1}{2}, \frac{3}{4}, \frac{5}{7}$

$\frac{1}{2}, \frac{5}{7}, \frac{9}{10}, \frac{3}{4}$

$\frac{3}{4}, \frac{9}{10}, \frac{1}{2}, \frac{5}{7}$

Explanation

Convert the fractions so that they all share the same denominator.

$\frac{1}{2}\cdot \frac{70}{70}=\frac{70}{140}$

$\frac{3}{4}\cdot \frac{35}{35}=\frac{105}{140}$

$\frac{5}{7}\cdot \frac{20}{20}=\frac{100}{140}$

$\frac{9}{10}\cdot \frac{14}{14}=\frac{126}{140}$

Now, look at the numerators and order them from the least to the greatest:

$\frac{1}{2}, \frac{5}{7}, \frac{3}{4}, \frac{9}{10}$

Fill in the blank with the correct symbol.

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

Explanation

The fraction models below show $\frac{2}{4}$ and $\frac{3}{}4$

$\frac{3}{4}$ is greater than $\frac{2}{4}$ because more of the model is filled in.

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

2 4 and 3 4

Fill in the blank with the correct symbol.

$\frac{3}{6}$ __________ $\frac{2}{6}$

Explanation

The fraction models below show $\frac{3}{6}$ and $\frac{2}{6}$

$\frac{3}{6}$ is greater than $\frac{2}{6}$ because more of the model is filled in.

$\frac{3}{6}>\frac{2}{6}$

3 6 and 2 6

Fill in the blank with the correct symbol.

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

Explanation

The fraction models below show $\frac{2}{4}$ and $\frac{2}{}4$

$\frac{2}{4}$ is equal to $\frac{2}{4}$

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

2 4 and 2 4

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.

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

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.

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

Fill in the blank with the correct symbol.

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

Explanation

The fraction models below show $\frac{1}{}4$ and $\frac{2}{}4$

$\frac{2}{4}$ is greater than $\frac{1}{4}$ because more of the model is filled in.

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

1 4 and 2 4

Fill in the blank with the correct symbol.

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

Explanation

The fraction models below show $\frac{2}{6}$ and $\frac{1}{6}$

$\frac{2}{6}$ is greater than $\frac{1}{6}$ because more of the model is filled in.

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

2 6 and 1 6

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.

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

Order the following fractions from least to greatest:

$\frac{1}{8}, \frac{9}{24}, \frac{3}{4}, \frac{5}{12}$

$\frac{1}{8}, \frac{9}{24}, \frac{5}{12}, \frac{3}{4}$

$\frac{3}{4}, \frac{5}{12}, \frac{9}{24}, \frac{1}{8}$

$\frac{9}{24}, \frac{1}{8}, \frac{5}{12}, \frac{3}{4}$

$\frac{9}{24}, \frac{5}{12}, \frac{1}{8}, \frac{3}{4}$

Explanation

Convert all the fractions so that they share the same denominator, then order the numerators from least to greatest.

$\frac{1}{8}\cdot \frac{3}{3}=\frac{3}{24}$

$\frac{9}{24}$ stays the same.

$\frac{3}{4}\cdot \frac{6}{6}=\frac{18}{24}$

$\frac{5}{12}\cdot \frac{2}{2}=\frac{10}{24}$

$\frac{1}{8}, \frac{9}{24}, \frac{5}{12}, \frac{3}{4}$ is the order of the fractions from least to greatest.

How to order fractions from least to greatest or from greatest to least

Help Questions

Explanation

Explanation

Explanation

Explanation

Explanation

Explanation

Explanation

Explanation

Explanation

Explanation