Ordering Fractions

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Show your work for each problem.

1.
Which list shows $\frac{4}{7}$ , $\frac{1}{7}$ , $\frac{6}{7}$ , $\frac{3}{7}$ from least to greatest?
1. a) $\frac{4}{7}, \frac{1}{7}, \frac{6}{7}, \frac{3}{7}$
2. b) $\frac{1}{7}, \frac{4}{7}, \frac{3}{7}, \frac{6}{7}$
3. c) $\frac{6}{7}, \frac{4}{7}, \frac{3}{7}, \frac{1}{7}$
4. d) $\frac{1}{7}, \frac{3}{7}, \frac{4}{7}, \frac{6}{7}$
2.
Order $\frac{5}{11}$ , $\frac{9}{11}$ , $\frac{2}{11}$ , $\frac{7}{11}$ from least to greatest. Which fraction comes first?
3.
Which list shows $\frac{2}{9}$ , $\frac{2}{3}$ , $\frac{2}{5}$ , $\frac{2}{7}$ from greatest to least?
1. a) $\frac{2}{3}, \frac{2}{7}, \frac{2}{5}, \frac{2}{9}$
2. b) $\frac{2}{9}, \frac{2}{7}, \frac{2}{5}, \frac{2}{3}$
3. c) $\frac{2}{3}, \frac{2}{5}, \frac{2}{7}, \frac{2}{9}$
4. d) $\frac{2}{5}, \frac{2}{3}, \frac{2}{9}, \frac{2}{7}$
4.
Order $\frac{4}{5}$ , $\frac{4}{9}$ , $\frac{4}{7}$ , $\frac{4}{11}$ from least to greatest. Which fraction comes first?
5.
Order $\frac{1}{8}$ , $\frac{9}{10}$ , $\frac{1}{2}$ from least to greatest using the benchmarks 0, 1/2 and 1.
6.
Order $\frac{7}{12}$ , $\frac{11}{12}$ , $\frac{1}{12}$ , $\frac{5}{12}$ from greatest to least.
7.
What is the fastest way to order $\frac{5}{6}$ , $\frac{5}{9}$ , $\frac{5}{7}$ , $\frac{5}{12}$ ?
1. a)Cross multiply every pair of fractions
2. b)Same numerator: order the denominators
3. c)Convert every fraction to a decimal
4. d)Rewrite all of them with the LCD 252
8.
Order $\frac{1}{2}$ , $\frac{2}{5}$ , $\frac{3}{10}$ , $\frac{7}{20}$ from least to greatest. Which fraction comes second?
9.
Order $\frac{3}{4}$ , $\frac{5}{6}$ , $\frac{2}{3}$ , $\frac{7}{12}$ from least to greatest.
10.
Order $\frac{7}{8}$ , $\frac{4}{5}$ , $\frac{17}{20}$ , $\frac{21}{25}$ from greatest to least by converting to decimals.
11.
Four runners ran $\frac{5}{9}$ km, $\frac{2}{3}$ km, $\frac{1}{2}$ km, $\frac{7}{18}$ km. Which list shows the distances from shortest to longest?
1. a) $\frac{1}{2}, \frac{7}{18}, \frac{2}{3}, \frac{5}{9}$
2. b) $\frac{7}{18}, \frac{1}{2}, \frac{5}{9}, \frac{2}{3}$
3. c) $\frac{7}{18}, \frac{5}{9}, \frac{1}{2}, \frac{2}{3}$
4. d) $\frac{2}{3}, \frac{5}{9}, \frac{1}{2}, \frac{7}{18}$
12.
A recipe uses $\frac{3}{8}$ cup of oil, $\frac{1}{4}$ cup of honey, $\frac{1}{3}$ cup of sugar and $\frac{5}{12}$ cup of milk. Which amount is the second largest? Write it as a fraction.
13.
In a class survey about favorite sports, $\frac{3}{8}$ chose football, $\frac{1}{4}$ basketball, $\frac{1}{6}$ tennis and $\frac{5}{24}$ swimming. Order the fractions from least to greatest.
14.
Order $\frac{5}{7}$ , $\frac{2}{3}$ , $\frac{3}{5}$ , $\frac{7}{10}$ from least to greatest. Which fraction comes third?
15.
Which list shows $\frac{4}{9}$ , $\frac{7}{12}$ , $\frac{5}{11}$ , $\frac{3}{5}$ from greatest to least?
1. a) $\frac{7}{12}, \frac{3}{5}, \frac{4}{9}, \frac{5}{11}$
2. b) $\frac{3}{5}, \frac{7}{12}, \frac{5}{11}, \frac{4}{9}$
3. c) $\frac{3}{5}, \frac{7}{12}, \frac{4}{9}, \frac{5}{11}$
4. d) $\frac{4}{9}, \frac{5}{11}, \frac{7}{12}, \frac{3}{5}$
16.
Order $\frac{2}{11}$ , $\frac{6}{7}$ , $\frac{5}{9}$ , $\frac{9}{10}$ from greatest to least without a common denominator.
17.
In a race, Ana ran $\frac{5}{6}$ km, Ben $\frac{7}{9}$ km, Cleo $\frac{3}{4}$ km and Dan $\frac{13}{18}$ km. Order the distances from shortest to longest.
18.
Four groups answered yes to a survey question: group A $\frac{7}{16}$ , group B $\frac{3}{8}$ , group C $\frac{9}{20}$ , group D $\frac{2}{5}$ . Which fraction is the largest?