Adding and Subtracting Fractions (Quiz) online exercise for | Live ... - Free Printable

Problem: Solving the given fraction addition and subtraction problems and writing the answers as mixed numbers (if possible).

#### Step-by-Step Solution:

1. $\frac{3}{4} - \frac{2}{4}$
- Since the denominators are the same, subtract the numerators directly:
$$
\frac{3}{4} - \frac{2}{4} = \frac{3 - 2}{4} = \frac{1}{4}
$$
- Answer: $\frac{1}{4}$

2. $\frac{4}{5} - \frac{3}{5}$
- Subtract the numerators directly:
$$
\frac{4}{5} - \frac{3}{5} = \frac{4 - 3}{5} = \frac{1}{5}
$$
- Answer: $\frac{1}{5}$

3. $\frac{2}{3} - \frac{1}{3}$
- Subtract the numerators directly:
$$
\frac{2}{3} - \frac{1}{3} = \frac{2 - 1}{3} = \frac{1}{3}
$$
- Answer: $\frac{1}{3}$

4. $\frac{5}{6} - \frac{1}{6}$
- Subtract the numerators directly:
$$
\frac{5}{6} - \frac{1}{6} = \frac{5 - 1}{6} = \frac{4}{6}
$$
- Simplify $\frac{4}{6}$ to its lowest terms:
$$
\frac{4}{6} = \frac{2}{3}
$$
- Answer: $\frac{2}{3}$

5. $\frac{4}{6} - \frac{1}{6}$
- Subtract the numerators directly:
$$
\frac{4}{6} - \frac{1}{6} = \frac{4 - 1}{6} = \frac{3}{6}
$$
- Simplify $\frac{3}{6}$ to its lowest terms:
$$
\frac{3}{6} = \frac{1}{2}
$$
- Answer: $\frac{1}{2}$

6. $\frac{3}{4} - \frac{1}{4}$
- Subtract the numerators directly:
$$
\frac{3}{4} - \frac{1}{4} = \frac{3 - 1}{4} = \frac{2}{4}
$$
- Simplify $\frac{2}{4}$ to its lowest terms:
$$
\frac{2}{4} = \frac{1}{2}
$$
- Answer: $\frac{1}{2}$

7. $\frac{7}{10} - \frac{5}{10}$
- Subtract the numerators directly:
$$
\frac{7}{10} - \frac{5}{10} = \frac{7 - 5}{10} = \frac{2}{10}
$$
- Simplify $\frac{2}{10}$ to its lowest terms:
$$
\frac{2}{10} = \frac{1}{5}
$$
- Answer: $\frac{1}{5}$

8. $\frac{4}{5} - \frac{4}{5}$
- Subtract the numerators directly:
$$
\frac{4}{5} - \frac{4}{5} = \frac{4 - 4}{5} = \frac{0}{5} = 0
$$
- Answer: $0$

9. $\frac{2}{10} - \frac{2}{10}$
- Subtract the numerators directly:
$$
\frac{2}{10} - \frac{2}{10} = \frac{2 - 2}{10} = \frac{0}{10} = 0
$$
- Answer: $0$

10. $\frac{1}{2} - \frac{1}{2}$
- Subtract the numerators directly:
$$
\frac{1}{2} - \frac{1}{2} = \frac{1 - 1}{2} = \frac{0}{2} = 0
$$
- Answer: $0$

11. $\frac{4}{10} + \frac{3}{10}$
- Add the numerators directly:
$$
\frac{4}{10} + \frac{3}{10} = \frac{4 + 3}{10} = \frac{7}{10}
$$
- Answer: $\frac{7}{10}$

12. $\frac{2}{10} + \frac{4}{10}$
- Add the numerators directly:
$$
\frac{2}{10} + \frac{4}{10} = \frac{2 + 4}{10} = \frac{6}{10}
$$
- Simplify $\frac{6}{10}$ to its lowest terms:
$$
\frac{6}{10} = \frac{3}{5}
$$
- Answer: $\frac{3}{5}$

13. $\frac{8}{10} + \frac{1}{10}$
- Add the numerators directly:
$$
\frac{8}{10} + \frac{1}{10} = \frac{8 + 1}{10} = \frac{9}{10}
$$
- Answer: $\frac{9}{10}$

14. $\frac{4}{10} + \frac{4}{10}$
- Add the numerators directly:
$$
\frac{4}{10} + \frac{4}{10} = \frac{4 + 4}{10} = \frac{8}{10}
$$
- Simplify $\frac{8}{10}$ to its lowest terms:
$$
\frac{8}{10} = \frac{4}{5}
$$
- Answer: $\frac{4}{5}$

15. $\frac{3}{5} + \frac{2}{5}$
- Add the numerators directly:
$$
\frac{3}{5} + \frac{2}{5} = \frac{3 + 2}{5} = \frac{5}{5} = 1
$$
- Answer: $1$

16. $\frac{2}{3} + \frac{2}{3}$
- Add the numerators directly:
$$
\frac{2}{3} + \frac{2}{3} = \frac{2 + 2}{3} = \frac{4}{3}
$$
- Convert $\frac{4}{3}$ to a mixed number:
$$
\frac{4}{3} = 1 \frac{1}{3}
$$
- Answer: $1 \frac{1}{3}$

17. $\frac{1}{2} + \frac{1}{2}$
- Add the numerators directly:
$$
\frac{1}{2} + \frac{1}{2} = \frac{1 + 1}{2} = \frac{2}{2} = 1
$$
- Answer: $1$

18. $\frac{4}{6} + \frac{2}{6}$
- Add the numerators directly:
$$
\frac{4}{6} + \frac{2}{6} = \frac{4 + 2}{6} = \frac{6}{6} = 1
$$
- Answer: $1$

19. $\frac{3}{12} + \frac{9}{12}$
- Add the numerators directly:
$$
\frac{3}{12} + \frac{9}{12} = \frac{3 + 9}{12} = \frac{12}{12} = 1
$$
- Answer: $1$

20. $\frac{6}{12} + \frac{5}{12}$
- Add the numerators directly:
$$
\frac{6}{12} + \frac{5}{12} = \frac{6 + 5}{12} = \frac{11}{12}
$$
- Answer: $\frac{11}{12}$

---

Final Answers:

1. $\frac{1}{4}$
2. $\frac{1}{5}$
3. $\frac{1}{3}$
4. $\frac{2}{3}$
5. $\frac{1}{2}$
6. $\frac{1}{2}$
7. $\frac{1}{5}$
8. $0$
9. $0$
10. $0$
11. $\frac{7}{10}$
12. $\frac{3}{5}$
13. $\frac{9}{10}$
14. $\frac{4}{5}$
15. $1$
16. $1 \frac{1}{3}$
17. $1$
18. $1$
19. $1$
20. $\frac{11}{12}$

---

Boxed Final Answer:

$$
\boxed{
\begin{array}{ll}
1. & \frac{1}{4} \\
2. & \frac{1}{5} \\
3. & \frac{1}{3} \\
4. & \frac{2}{3} \\
5. & \frac{1}{2} \\
6. & \frac{1}{2} \\
7. & \frac{1}{5} \\
8. & 0 \\
9. & 0 \\
10. & 0 \\
11. & \frac{7}{10} \\
12. & \frac{3}{5} \\
13. & \frac{9}{10} \\
14. & \frac{4}{5} \\
15. & 1 \\
16. & 1 \frac{1}{3} \\
17. & 1 \\
18. & 1 \\
19. & 1 \\
20. & \frac{11}{12} \\
\end{array}
}
$$