Comparing Fractions with the Same Denominator

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Show your work for each problem.

1.
Which fraction is larger: $\frac{3}{5}$ or $\frac{4}{5}$ ?
1. a) $\frac{4}{5}$
2. b)They are equal
3. c) $\frac{3}{5}$
4. d)Cannot compare
2.
Which symbol goes in the blank? $\frac{2}{7}$ ___ $\frac{5}{7}$
1. a) $<$
2. b)None of these
3. c) $=$
4. d) $>$
3.
Is $\frac{6}{9}$ greater than, less than, or equal to $\frac{4}{9}$ ?
1. a)greater than
2. b)less than
3. c)equal to
4. d)You cannot tell
4.
What is the numerator of the larger fraction? $\frac{3}{8}$ or $\frac{7}{8}$
5.
Sarah and Tom each have a pie of the same size, cut into 6 equal slices. Sarah ate $\frac{2}{6}$ of her pie and Tom ate $\frac{5}{6}$ of his. Who ate more?
1. a)Sarah
2. b)They ate the same amount
3. c)Cannot determine
4. d)Tom
6.
Order from least to greatest: $\frac{5}{10}$ , $\frac{2}{10}$ , $\frac{8}{10}$ , $\frac{1}{10}$
7.
Find the fraction with denominator 8 that lies between $\frac{3}{8}$ and $\frac{5}{8}$ . Write it as a fraction (e.g., 1/8).
8.
Which fraction is the smallest? $\frac{9}{12}$ , $\frac{4}{12}$ , $\frac{7}{12}$ , $\frac{11}{12}$
1. a) $\frac{7}{12}$
2. b) $\frac{4}{12}$
3. c) $\frac{11}{12}$
4. d) $\frac{9}{12}$
9.
Maya, Leo and Zoe each have the same chocolate bar with 8 equal pieces. Maya ate $\frac{3}{8}$ of her bar, Leo ate $\frac{5}{8}$ and Zoe ate $\frac{2}{8}$ . Order them from who ate the least to who ate the most.
10.
How many fractions with denominator 6 are greater than $\frac{2}{6}$ but less than $\frac{5}{6}$ ?
11.
A race track is divided into 10 equal sections. Anna completed $\frac{7}{10}$ of the track and Ben completed $\frac{9}{10}$ . Who is closer to finishing?
12.
If $\frac{x}{9} > \frac{5}{9}$ and $x$ is a whole number less than 9, how many possible values can $x$ have?
13.
A water tank is $\frac{11}{15}$ full. Water is added until it becomes $\frac{14}{15}$ full. What fraction of the tank was added?
14.
Which statement is TRUE?
1. a) $\frac{3}{11} > \frac{6}{11} > \frac{8}{11}$
2. b) $\frac{8}{11} > \frac{6}{11} > \frac{3}{11}$
3. c) $\frac{6}{11} > \frac{8}{11} > \frac{3}{11}$
4. d) $\frac{8}{11} > \frac{3}{11} > \frac{6}{11}$
15.
Three students are reading the same book. After one week: Amy read $\frac{5}{12}$ , Ben read $\frac{8}{12}$ , and Cara read $\frac{3}{12}$ . How much more of the book has Ben read compared to Cara?