To compare fractions that have the same bottom number (denominator), we just need to look at the top numbers (numerators). The fraction with the larger top number is the bigger fraction.
Here is the step-by-step solution for each problem:
1. Compare $\frac{1}{4}$ and $\frac{3}{4}$
* The denominators are both 4.
* Look at the numerators: 1 and 3.
* Since 1 is less than 3, $\frac{1}{4}$ is smaller than $\frac{3}{4}$.
*
Answer: $<$
2. Compare $\frac{4}{5}$ and $\frac{2}{5}$
* The denominators are both 5.
* Look at the numerators: 4 and 2.
* Since 4 is greater than 2, $\frac{4}{5}$ is bigger than $\frac{2}{5}$.
*
Answer: $>$
3. Compare $\frac{7}{8}$ and $\frac{5}{8}$
* The denominators are both 8.
* Look at the numerators: 7 and 5.
* Since 7 is greater than 5, $\frac{7}{8}$ is bigger than $\frac{5}{8}$.
*
Answer: $>$
4. Compare $\frac{1}{6}$ and $\frac{3}{6}$
* The denominators are both 6.
* Look at the numerators: 1 and 3.
* Since 1 is less than 3, $\frac{1}{6}$ is smaller than $\frac{3}{6}$.
*
Answer: $<$
5. Compare $\frac{5}{10}$ and $\frac{8}{10}$
* The denominators are both 10.
* Look at the numerators: 5 and 8.
* Since 5 is less than 8, $\frac{5}{10}$ is smaller than $\frac{8}{10}$.
*
Answer: $<$
6. Compare $\frac{9}{12}$ and $\frac{3}{12}$
* The denominators are both 12.
* Look at the numerators: 9 and 3.
* Since 9 is greater than 3, $\frac{9}{12}$ is bigger than $\frac{3}{12}$.
*
Answer: $>$
Final Answer:
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Parent Tip: Review the logic above to help your child master the concept of 2nd grade fractions worksheet.