To compare unit fractions (fractions with a 1 on top), look at the bottom numbers (denominators).
The Rule:
* The
smaller the bottom number, the
larger the fraction. (Imagine sharing a pizza with fewer people; you get more.)
* The
larger the bottom number, the
smaller the fraction. (Imagine sharing a pizza with many people; you get less.)
Let's solve each problem:
1.
$\frac{1}{11}$ vs $\frac{1}{10}$: 11 is larger than 10, so $\frac{1}{11}$ is smaller. Answer:
<
2.
$\frac{1}{8}$ vs $\frac{1}{3}$: 8 is larger than 3, so $\frac{1}{8}$ is smaller. Answer:
<
3.
$\frac{1}{9}$ vs $\frac{1}{4}$: 9 is larger than 4, so $\frac{1}{9}$ is smaller. Answer:
<
4.
$\frac{1}{3}$ vs $\frac{1}{6}$: 3 is smaller than 6, so $\frac{1}{3}$ is larger. Answer:
>
5.
$\frac{1}{11}$ vs $\frac{1}{12}$: 11 is smaller than 12, so $\frac{1}{11}$ is larger. Answer:
>
6.
$\frac{1}{7}$ vs $\frac{1}{11}$: 7 is smaller than 11, so $\frac{1}{7}$ is larger. Answer:
>
7.
$\frac{1}{12}$ vs $\frac{1}{9}$: 12 is larger than 9, so $\frac{1}{12}$ is smaller. Answer:
<
8.
$\frac{1}{6}$ vs $\frac{1}{8}$: 6 is smaller than 8, so $\frac{1}{6}$ is larger. Answer:
>
9.
$\frac{1}{7}$ vs $\frac{1}{10}$: 7 is smaller than 10, so $\frac{1}{7}$ is larger. Answer:
>
10.
$\frac{1}{11}$ vs $\frac{1}{6}$: 11 is larger than 6, so $\frac{1}{11}$ is smaller. Answer:
<
11.
$\frac{1}{7}$ vs $\frac{1}{9}$: 7 is smaller than 9, so $\frac{1}{7}$ is larger. Answer:
>
12.
$\frac{1}{6}$ vs $\frac{1}{9}$: 6 is smaller than 9, so $\frac{1}{6}$ is larger. Answer:
>
Final Answer:
1) <
2) <
3) <
4) >
5) >
6) >
7) <
8) >
9) >
10) <
11) >
12) >
Parent Tip: Review the logic above to help your child master the concept of unit fraction worksheets.
