Fraction of a number | 5th grade Math Worksheet | GreatSchools - Free Printable

Explanation:
We need to compare two fractions in each problem and write the correct symbol: <, >, or =.

To compare fractions, we can:
- Convert them to decimals (easy with a calculator, but we’ll do it by hand when possible), or
- Find a common denominator and compare numerators.

Let’s go one by one:

1) $ \frac{1}{3} $ vs $ \frac{7}{8} $
$ \frac{1}{3} \approx 0.333 $, $ \frac{7}{8} = 0.875 $ → $ \frac{1}{3} < \frac{7}{8} $

2) $ \frac{1}{6} $ vs $ \frac{3}{4} $
$ \frac{1}{6} \approx 0.167 $, $ \frac{3}{4} = 0.75 $ → $ \frac{1}{6} < \frac{3}{4} $

3) $ \frac{3}{8} $ vs $ \frac{2}{4} = \frac{1}{2} = 0.5 $
$ \frac{3}{8} = 0.375 $ → $ \frac{3}{8} < \frac{2}{4} $

4) $ \frac{4}{5} $ vs $ \frac{4}{8} = \frac{1}{2} = 0.5 $
$ \frac{4}{5} = 0.8 $ → $ \frac{4}{5} > \frac{4}{8} $

5) $ \frac{1}{4} = 0.25 $, $ \frac{1}{2} = 0.5 $ → $ \frac{1}{4} < \frac{1}{2} $

6) $ \frac{1}{6} \approx 0.167 $, $ \frac{4}{5} = 0.8 $ → $ \frac{1}{6} < \frac{4}{5} $

7) $ \frac{1}{2} = 0.5 $, $ \frac{2}{6} = \frac{1}{3} \approx 0.333 $ → $ \frac{1}{2} > \frac{2}{6} $

8) $ \frac{3}{4} = 0.75 $, $ \frac{2}{6} = \frac{1}{3} \approx 0.333 $ → $ \frac{3}{4} > \frac{2}{6} $

9) $ \frac{1}{3} \approx 0.333 $, $ \frac{1}{3} = 0.333 $ → $ \frac{1}{3} = \frac{1}{3} $

10) $ \frac{2}{3} \approx 0.667 $, $ \frac{2}{4} = \frac{1}{2} = 0.5 $ → $ \frac{2}{3} > \frac{2}{4} $

11) $ \frac{1}{8} = 0.125 $, $ \frac{3}{4} = 0.75 $ → $ \frac{1}{8} < \frac{3}{4} $

12) $ \frac{2}{4} = \frac{1}{2} = 0.5 $, $ \frac{1}{3} \approx 0.333 $ → $ \frac{2}{4} > \frac{1}{3} $

13) $ \frac{1}{6} \approx 0.167 $, $ \frac{3}{5} = 0.6 $ → $ \frac{1}{6} < \frac{3}{5} $

14) $ \frac{5}{8} = 0.625 $, $ \frac{4}{8} = 0.5 $ → $ \frac{5}{8} > \frac{4}{8} $

15) $ \frac{1}{3} \approx 0.333 $, $ \frac{2}{3} \approx 0.667 $ → $ \frac{1}{3} < \frac{2}{3} $

16) $ \frac{3}{5} = 0.6 $, $ \frac{1}{2} = 0.5 $ → $ \frac{3}{5} > \frac{1}{2} $

17) $ \frac{2}{5} = 0.4 $, $ \frac{2}{3} \approx 0.667 $ → $ \frac{2}{5} < \frac{2}{3} $

18) $ \frac{1}{2} = 0.5 $, $ \frac{5}{6} \approx 0.833 $ → $ \frac{1}{2} < \frac{5}{6} $

19) $ \frac{1}{6} \approx 0.167 $, $ \frac{2}{5} = 0.4 $ → $ \frac{1}{6} < \frac{2}{5} $

20) $ \frac{1}{8} = 0.125 $, $ \frac{1}{2} = 0.5 $ → $ \frac{1}{8} < \frac{1}{2} $

Let me double-check a few tricky ones using common denominators:

- #3: $ \frac{3}{8} $ vs $ \frac{2}{4} = \frac{4}{8} $ → 3 < 4 → < ✔️
- #7: $ \frac{1}{2} = \frac{3}{6} $, $ \frac{2}{6} $ → 3 > 2 → > ✔️
- #12: $ \frac{2}{4} = \frac{6}{12} $, $ \frac{1}{3} = \frac{4}{12} $ → 6 > 4 → > ✔️
- #16: $ \frac{3}{5} = \frac{6}{10} $, $ \frac{1}{2} = \frac{5}{10} $ → 6 > 5 → > ✔️

All checks out.

Final Answer:
1) <
2) <
3) <
4) >
5) <
6) <
7) >
8) >
9) =
10) >
11) <
12) >
13) <
14) >
15) <
16) >
17) <
18) <
19) <
20) <