Ordering Fractions - SSAT Upper Level Quantitative

Card 1 of 356

0

Didn't Know

0

Didn't Know

Knew It

0

1 of 2019 left

Question

Order the following fractions from least to greatest:

$\frac{4}{9}$, $\frac{1}{4}$, $\frac{7}{12}$, $\frac{5}{6}$

Tap to reveal answer

Answer

In order to compare these fractions, they all need to have the same denominator. The least common denominator for this set of fractions is .

Now, convert these fractions so that their denominators are all .

$\frac{4}{9}$=\frac{16}{36}$

$\frac{1}{4}$=\frac{9}{36}$

$\frac{7}{12}$=\frac{21}{36}$

$\frac{5}{6}$=\frac{30}{36}$

Now, place the fractions in ascending order by looking at the numerators.

← Didn't Know|Knew It →

Question

Order the following fractions from least to greatest:

$\frac{1}{4}$, $\frac{3}{4}$, $\frac{3}{20}$, $\frac{2}{5}$

Tap to reveal answer

Answer

Convert the fractions so that they all share the same denominator. Then, order the fractions from least to greatest by comparing their numerators.

$\frac{1}{4}$\cdot $\frac{5}{5}$=\frac{5}{20}$

$\frac{3}{20}$ stays the same.

$\frac{2}{5}$\cdot $\frac{4}{4}$=\frac{8}{20}$

$\frac{3}{4}$\cdot $\frac{5}{5}$=\frac{15}{20}$

$\frac{3}{20}$, $\frac{1}{4}$, $\frac{2}{5}$, $\frac{3}{4}$ is in order from least to greatest.

← Didn't Know|Knew It →

Question

Order the following fractions from least to greatest:

$\frac{3}{4}$,$\frac{1}{2}$, $\frac{1}{8}$, $\frac{2}{5}$, $\frac{9}{10}$

Tap to reveal answer

Answer

In order to compare these fractions, we need to rewrite them so they have a common denominator. The least common denominator of these fractions is , so starting from the left:

$\frac{3}{4}$=\frac{30}{40}$

$\frac{1}{2}$=\frac{20}{40}$

$\frac{1}{8}$=\frac{5}{40}$

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

$\frac{9}{10}$=\frac{36}{40}$

Thus, the correct order from least to greatest is:

$\frac{1}{8}$, $\frac{2}{5}$, $\frac{1}{2}$, $\frac{3}{4}$, $\frac{9}{10}$

← Didn't Know|Knew It →

Question

Order these fractions from least to greatest:

$\frac{7}{8}$, $\frac{1}{4}$, $\frac{5}{6}$, $\frac{5}{12}$

Tap to reveal answer

Answer

To figure out the order of the fractions, they first all need to have the same denominator.

$\frac{7}{8}\rightarrow$\frac{21}{24}$

$\frac{1}{4}\rightarrow$\frac{6}{24}$

$\frac{5}{6}\rightarrow$\frac{20}{24}$

$\frac{5}{12}\rightarrow$\frac{10}{24}$

Now, order the fractions by looking at their numerators: $\frac{1}{4}$, $\frac{5}{12}$, $\frac{5}{6}$, $\frac{7}{8}$

← Didn't Know|Knew It →

Question

Order the following fractions from least to greatest:

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

Tap to reveal answer

Answer

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:

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

← Didn't Know|Knew It →

Question

Order the following fractions from least to greatest:

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

Tap to reveal answer

Answer

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.

← Didn't Know|Knew It →

Question

Order the following fractions from least to greatest:

$\frac{1}{5}$, $\frac{5}{8}$, $\frac{3}{10}$, $\frac{1}{4}$

Tap to reveal answer

Answer

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

$\frac{1}{5}$\cdot $\frac{8}{8}$=\frac{8}{40}$

$\frac{5}{8}$\cdot $\frac{5}{5}$=\frac{25}{40}$

$\frac{3}{10}$\cdot $\frac{4}{4}$=\frac{12}{40}$

$\frac{1}{4}$\cdot $\frac{10}{10}$=\frac{10}{40}$

$\frac{1}{5}$, $\frac{1}{4}$, $\frac{3}{10}$, $\frac{5}{8}$ is the order of the fractions from least to greatest.

← Didn't Know|Knew It →

Question

Order the following fractions from least to greatest:

$\frac{3}{16}$, $\frac{11}{16}$, $\frac{1}{4}$, $\frac{11}{32}$

Tap to reveal answer

Answer

Convert the fractions so that they all share the same denominators. Then, compare their numerators to put them in order from least to greatest.

$\frac{3}{16}$ \cdot $\frac{2}{2}$=\frac{6}{32}$

$\frac{1}{4}$\cdot $\frac{8}{8}$=\frac{8}{32}$

$\frac{11}{32}$ stays the same.

$\frac{11}{16}$\cdot $\frac{2}{2}$=\frac{22}{32}$

$\frac{3}{16}$, $\frac{1}{4}$, $\frac{11}{32}$, $\frac{11}{16}$ is in order from least to greatest.

← Didn't Know|Knew It →

Question

Order the following fractions from least to greatest:

$\frac{2}{9}$, $\frac{1}{3}$, $\frac{1}{18}$, $\frac{1}{6}$

Tap to reveal answer

Answer

Convert the fractions so that they share the same denominator. Then, compare their numerators to put them in order from least to greatest.

$\frac{1}{18}$\cdot $\frac{2}{2}$=\frac{2}{36}$

$\frac{1}{6}$\cdot $\frac{6}{6}$=\frac{6}{36}$

$\frac{2}{9}$\cdot $\frac{4}{4}$=\frac{8}{36}$

$\frac{1}{3}$\cdot $\frac{12}{12}$=\frac{12}{36}$

$\frac{1}{18}$, $\frac{1}{6}$, $\frac{2}{9}$, $\frac{1}{3}$ is in order from least to greatest.

← Didn't Know|Knew It →

Question

Order the following fractions from greatest to least:

$\frac{9}{10}$, $\frac{1}{5}$, $\frac{18}{25}$, $\frac{7}{20}$

Tap to reveal answer

Answer

Convert the fractions so that they all share the same denominator. Then, compare their numerators to put them in order from greatest to least.

$\frac{9}{10}$\cdot $\frac{10}{10}$=\frac{90}{100}$

$\frac{18}{25}$\cdot $\frac{4}{4}$=\frac{72}{100}$

$\frac{7}{20}$\cdot $\frac{5}{5}$=\frac{35}{100}$

$\frac{1}{5}$\cdot $\frac{20}{20}$=\frac{20}{100}$

$\frac{9}{10}$, $\frac{18}{25}$, $\frac{7}{20}$, $\frac{1}{5}$ is in order from greatest to least.

← Didn't Know|Knew It →

Question

Order the following fractions from least to greatest:

$\frac{1}{8}$, $\frac{8}{9}$, $\frac{1}{6}$, $\frac{35}{26}$

Tap to reveal answer

Answer

Convert the fractions so that they same the same denominator. Then, compare the numerators of the fractions to put them in order from least to greatest.

$\frac{1}{8}$\cdot $\frac{9}{9}$=\frac{9}{72}$

$\frac{1}{6}$\cdot $\frac{12}{12}$=\frac{12}{72}$

$\frac{8}{9}$\cdot $\frac{8}{8}$=\frac{64}{72}$

$\frac{35}{36}$\cdot $\frac{2}{2}$=\frac{70}{72}$

$\frac{1}{8}$, $\frac{1}{6}$, $\frac{8}{9}$, $\frac{35}{36}$ is in order from least to greatest.

← Didn't Know|Knew It →

Question

Order the following fractions from greatest to least:

$\frac{3}{4}$, $\frac{7}{8}$, $\frac{3}{20}$, $\frac{13}{20}$

Tap to reveal answer

Answer

Convert the fractions so that they share the same denominator. Then, compare their numerators in order to put them from greatest to least.

$\frac{7}{8}$\cdot $\frac{10}{10}$=\frac{70}{80}$

$\frac{3}{4}$\cdot $\frac{20}{20}$=\frac{60}{80}$

$\frac{13}{20}$\cdot $\frac{4}{4}$=\frac{52}{80}$

$\frac{3}{20}$\cdot $\frac{4}{4}$=\frac{12}{80}$

$\frac{7}{8}$, $\frac{3}{4}$, $\frac{13}{20}$, $\frac{3}{20}$ is in order from greatest to least.

← Didn't Know|Knew It →

Question

Order the following fractions from greatest to least:

$\frac{3}{10}$, $\frac{1}{5}$, $\frac{1}{25}$, $\frac{13}{25}$

Tap to reveal answer

Answer

Convert the fractions so that they share the same denominator. Then, compare their numerators to order them from greatest to least.

$\frac{13}{25}$\cdot $\frac{2}{2}$=\frac{26}{50}$

$\frac{3}{10}$\cdot $\frac{5}{5}$=\frac{15}{50}$

$\frac{1}{5}$\cdot $\frac{10}{10}$=\frac{10}{50}$

$\frac{1}{25}$\cdot $\frac{2}{2}$=\frac{2}{50}$

$\frac{13}{25}$, $\frac{3}{10}$, $\frac{1}{5}$, $\frac{1}{25}$ is in order from greatest to least.

← Didn't Know|Knew It →

Question

Order the following fractions from greatest to least:

$\frac{3}{4}$, $\frac{1}{12}$, $\frac{5}{24}$, $\frac{5}{6}$

Tap to reveal answer

Answer

Convert the fractions so that they share the same denominator. Then, compare their numerators in order to put them from greatest to least.

$\frac{5}{6}$\cdot $\frac{4}{4}$=\frac{20}{24}$

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

$\frac{5}{24}$ stays the same.

$\frac{1}{12}$\cdot $\frac{2}{2}$=\frac{2}{24}$

$\frac{5}{6}$, $\frac{3}{4}$, $\frac{5}{24}$, $\frac{1}{12}$ is in order from greatest to least.

← Didn't Know|Knew It →

Question

Order the following fractions from greatest to least:

$\frac{3}{5}$, $\frac{3}{10}$, $\frac{1}{6}$, $\frac{2}{3}$

Tap to reveal answer

Answer

Convert the fractions so that they share the same denominator. Then, compare their numerators to put them in order from greatest to least.

$\frac{2}{3}$\cdot $\frac{10}{10}$=\frac{20}{30}$

$\frac{3}{5}$\cdot $\frac{6}{6}$=\frac{18}{30}$

$\frac{3}{10}$\cdot $\frac{3}{3}$=\frac{9}{30}$

$\frac{1}{6}$\cdot $\frac{5}{5}$=\frac{5}{30}$

$\frac{2}{3}$, $\frac{3}{5}$, $\frac{3}{10}$, $\frac{1}{6}$ is in order from greatest to least.

← Didn't Know|Knew It →

Question

Order the following fractions from least to greatest: $\left($\frac{2}{3}$. $\frac{6}{11}$,$\frac{4}{7}\right)$

Tap to reveal answer

Answer

To determine the correct order from least to greatest, convert all three fractions to a common denominator.

The least common denominator, LCD, can be determined by multiplying the three denominators together.

$3\times11\times7 = 231$

Convert the set by multiplying to the numerator by what was multiplied to the denominator to achieve the LCD.

$\left($\frac{2}{3}$. $\frac{6}{11}$,$\frac{4}{7}$ \right )= \left( $\frac{154}{231}$,$\frac{126}{231}$,$\frac{132}{231}\right)$

Reorder the set. The correct order from least to greatest is:

$\left( $\frac{126}{231}$,$\frac{132}{231}$,$\frac{154}{231}\right ) =\left( $\frac{6}{11}$,$\frac{4}{7}$,$\frac{2}{3}\right )$

← Didn't Know|Knew It →

Question

Select the symbol to correctly fill in the blank below.

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

Tap to reveal answer

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.

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

← Didn't Know|Knew It →

Question

Select the symbol to correctly fill in the blank below.

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

Tap to reveal answer

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.

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

← Didn't Know|Knew It →

Question

Select the symbol to correctly fill in the blank below.

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

Tap to reveal answer

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}$

← Didn't Know|Knew It →

Question

Select the symbol to correctly fill in the blank below.

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

Tap to reveal answer

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.

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

← Didn't Know|Knew It →

0

Knew It