Ordering Mixed Numbers

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Show your work for each problem.

1.
Which list puts $2\frac{1}{2}$ , $1\frac{3}{4}$ , $3\frac{1}{5}$ in order from least to greatest?
1. a) $3\frac{1}{5} < 2\frac{1}{2} < 1\frac{3}{4}$
2. b) $2\frac{1}{2} < 1\frac{3}{4} < 3\frac{1}{5}$
3. c) $1\frac{3}{4} < 2\frac{1}{2} < 3\frac{1}{5}$
4. d) $1\frac{3}{4} < 3\frac{1}{5} < 2\frac{1}{2}$
2.
Which number is the largest: $4\frac{1}{6}$ , $3\frac{5}{6}$ , $4\frac{1}{3}$ ? Write the answer as a mixed number, like 2 1/5.
3.
Which number is the smallest: $\frac{9}{4}$ , $2\frac{1}{2}$ , $1\frac{7}{8}$ , $\frac{11}{5}$ ?
4.
Before ordering a list, Mia changes $\frac{17}{5}$ into a mixed number. What does she get? Write the answer as a mixed number, like 1 2/3.
5.
Order from least to greatest: $2\frac{3}{8}$ , $1\frac{5}{8}$ , $2\frac{7}{8}$
6.
Order from greatest to least: $1\frac{1}{2}$ , $3\frac{1}{4}$ , $2$ , $\frac{5}{2}$
7.
Which list puts $\frac{7}{2}$ , $3\frac{1}{3}$ , $3\frac{3}{4}$ , $3\frac{1}{8}$ in order from greatest to least?
1. a) $3\frac{3}{4} > 3\frac{1}{3} > \frac{7}{2} > 3\frac{1}{8}$
2. b) $3\frac{3}{4} > \frac{7}{2} > 3\frac{1}{3} > 3\frac{1}{8}$
3. c) $\frac{7}{2} > 3\frac{3}{4} > 3\frac{1}{3} > 3\frac{1}{8}$
4. d) $3\frac{1}{8} > 3\frac{1}{3} > \frac{7}{2} > 3\frac{3}{4}$
8.
Four planks are $2\frac{3}{4}$ m, $\frac{11}{5}$ m, $2\frac{5}{8}$ m and $\frac{13}{6}$ m long. Which length is the second shortest? Write the answer as a mixed number, like 3 1/2.
9.
Order from least to greatest: $\frac{11}{4}$ , $2\frac{5}{6}$ , $2\frac{2}{3}$ , $\frac{7}{3}$
10.
Four friends run a half marathon. Their times are: Ana $2\frac{3}{5}$ h, Ben $\frac{5}{2}$ h, Cara $2\frac{7}{10}$ h, Dan $\frac{11}{4}$ h. Who was the fastest?
1. a)Cara
2. b)Dan
3. c)Ben
4. d)Ana
11.
To order the times $\frac{23}{8}$ h, $2\frac{7}{10}$ h and $2\frac{3}{4}$ h, Leo changes each one into a decimal. What is $\frac{23}{8}$ as a decimal?
12.
Use decimals to order from greatest to least: $\frac{9}{4}$ , $2\frac{1}{5}$ , $2\frac{3}{10}$ , $\frac{19}{8}$
13.
Which number lies between $2\frac{1}{2}$ and $3$ on the number line?
1. a) $3\frac{1}{8}$
2. b) $\frac{5}{2}$
3. c) $\frac{9}{4}$
4. d) $\frac{17}{6}$
14.
A smoothie bar uses these amounts of five juices (in cups): $1\frac{2}{3}$ , $\frac{7}{4}$ , $1\frac{5}{8}$ , $\frac{3}{2}$ and $\frac{11}{6}$ . Order them from least to greatest.
15.
Which number is the second largest: $3\frac{2}{7}$ , $\frac{13}{4}$ , $3\frac{3}{10}$ , $\frac{10}{3}$ ? Write the answer as a mixed number, like 2 1/2.
16.
Which list puts $4\frac{1}{3}$ , $\frac{22}{5}$ , $4\frac{3}{8}$ , $\frac{17}{4}$ in order from greatest to least?
1. a) $\frac{22}{5} > 4\frac{1}{3} > 4\frac{3}{8} > \frac{17}{4}$
2. b) $\frac{22}{5} > 4\frac{3}{8} > 4\frac{1}{3} > \frac{17}{4}$
3. c) $\frac{17}{4} > 4\frac{1}{3} > 4\frac{3}{8} > \frac{22}{5}$
4. d) $4\frac{3}{8} > \frac{22}{5} > 4\frac{1}{3} > \frac{17}{4}$
17.
Order from least to greatest: $3$ , $\frac{14}{5}$ , $3\frac{1}{9}$ , $\frac{25}{8}$ , $2\frac{9}{10}$
18.
Four shelves are $3\frac{5}{12}$ m, $\frac{7}{2}$ m, $3\frac{4}{7}$ m and $\frac{10}{3}$ m long. Order them from longest to shortest.