To solve these problems, we are adding fractions that already have the same denominator (the bottom number).
The Rule: When the denominators are the same, you keep the denominator exactly as it is and simply add the numerators (the top numbers) together.
Here is the step-by-step solution for each problem:
1. $\frac{1}{5} + \frac{1}{5}$
* Add tops: $1 + 1 = 2$
* Keep bottom: $5$
* Answer:
$\frac{2}{5}$
2. $\frac{2}{5} + \frac{2}{5}$
* Add tops: $2 + 2 = 4$
* Keep bottom: $5$
* Answer:
$\frac{4}{5}$
3. $\frac{2}{6} + \frac{2}{6}$
* Add tops: $2 + 2 = 4$
* Keep bottom: $6$
* Answer:
$\frac{4}{6}$ (This can be simplified to $\frac{2}{3}$, but $\frac{4}{6}$ is correct for this level)
4. $\frac{1}{4} + \frac{3}{4}$
* Add tops: $1 + 3 = 4$
* Keep bottom: $4$
* Result: $\frac{4}{4}$
* Answer:
$1$
5. $\frac{4}{5} + \frac{1}{5}$
* Add tops: $4 + 1 = 5$
* Keep bottom: $5$
* Result: $\frac{5}{5}$
* Answer:
$1$
6. $\frac{1}{6} + \frac{4}{6}$
* Add tops: $1 + 4 = 5$
* Keep bottom: $6$
* Answer:
$\frac{5}{6}$
7. $\frac{2}{8} + \frac{6}{8}$
* Add tops: $2 + 6 = 8$
* Keep bottom: $8$
* Result: $\frac{8}{8}$
* Answer:
$1$
8. $\frac{1}{4} + \frac{2}{4}$
* Add tops: $1 + 2 = 3$
* Keep bottom: $4$
* Answer:
$\frac{3}{4}$
9. $\frac{1}{8} + \frac{2}{8}$
* Add tops: $1 + 2 = 3$
* Keep bottom: $8$
* Answer:
$\frac{3}{8}$
10. $\frac{1}{4} + \frac{1}{4}$
* Add tops: $1 + 1 = 2$
* Keep bottom: $4$
* Answer:
$\frac{2}{4}$ (This simplifies to $\frac{1}{2}$)
11. $\frac{3}{5} + \frac{3}{5}$
* Add tops: $3 + 3 = 6$
* Keep bottom: $5$
* Answer:
$\frac{6}{5}$ (or $1\frac{1}{5}$)
12. $\frac{1}{8} + \frac{3}{8}$
* Add tops: $1 + 3 = 4$
* Keep bottom: $8$
* Answer:
$\frac{4}{8}$ (This simplifies to $\frac{1}{2}$)
13. $\frac{3}{4} + \frac{1}{4}$
* Add tops: $3 + 1 = 4$
* Keep bottom: $4$
* Result: $\frac{4}{4}$
* Answer:
$1$
14. $\frac{2}{3} + \frac{1}{3}$
* Add tops: $2 + 1 = 3$
* Keep bottom: $3$
* Result: $\frac{3}{3}$
* Answer:
$1$
15. $\frac{4}{5} + \frac{2}{5}$
* Add tops: $4 + 2 = 6$
* Keep bottom: $5$
* Answer:
$\frac{6}{5}$ (or $1\frac{1}{5}$)
Final Answer:
1. $\frac{2}{5}$
2. $\frac{4}{5}$
3. $\frac{4}{6}$
4. $1$
5. $1$
6. $\frac{5}{6}$
7. $1$
8. $\frac{3}{4}$
9. $\frac{3}{8}$
10. $\frac{2}{4}$
11. $\frac{6}{5}$
12. $\frac{4}{8}$
13. $1$
14. $1$
15. $\frac{6}{5}$
Parent Tip: Review the logic above to help your child master the concept of dividing fractions worksheet with answer key.