Subtracting Mixed Fractions -- Like Denominators Reducing No ... - Free Printable

Here are the solutions to the subtraction problems on the worksheet. I have worked through each one step-by-step to ensure accuracy.

1. $5 \frac{3}{10} - 1 \frac{1}{10}$
* Subtract whole numbers: $5 - 1 = 4$
* Subtract fractions: $\frac{3}{10} - \frac{1}{10} = \frac{2}{10}$
* Result: $4 \frac{2}{10}$
* Reduce fraction: $\frac{2}{10}$ simplifies to $\frac{1}{5}$
* Answer: $4 \frac{1}{5}$

2. $6 \frac{6}{12} - 6 \frac{2}{12}$
* Subtract whole numbers: $6 - 6 = 0$ (so we just look at the fractions)
* Subtract fractions: $\frac{6}{12} - \frac{2}{12} = \frac{4}{12}$
* Reduce fraction: $\frac{4}{12}$ simplifies to $\frac{1}{3}$
* Answer: $\frac{1}{3}$

3. $7 \frac{8}{12} - 3 \frac{6}{12}$
* Subtract whole numbers: $7 - 3 = 4$
* Subtract fractions: $\frac{8}{12} - \frac{6}{12} = \frac{2}{12}$
* Reduce fraction: $\frac{2}{12}$ simplifies to $\frac{1}{6}$
* Answer: $4 \frac{1}{6}$

4. $6 \frac{5}{6} - 4 \frac{1}{6}$
* Subtract whole numbers: $6 - 4 = 2$
* Subtract fractions: $\frac{5}{6} - \frac{1}{6} = \frac{4}{6}$
* Reduce fraction: $\frac{4}{6}$ simplifies to $\frac{2}{3}$
* Answer: $2 \frac{2}{3}$

5. $2 \frac{8}{9} - 1 \frac{2}{9}$
* Subtract whole numbers: $2 - 1 = 1$
* Subtract fractions: $\frac{8}{9} - \frac{2}{9} = \frac{6}{9}$
* Reduce fraction: $\frac{6}{9}$ simplifies to $\frac{2}{3}$
* Answer: $1 \frac{2}{3}$

6. $8 \frac{4}{6} - 8 \frac{1}{6}$
* Subtract whole numbers: $8 - 8 = 0$
* Subtract fractions: $\frac{4}{6} - \frac{1}{6} = \frac{3}{6}$
* Reduce fraction: $\frac{3}{6}$ simplifies to $\frac{1}{2}$
* Answer: $\frac{1}{2}$

7. $3 \frac{5}{6} - 2 \frac{1}{6}$
* Subtract whole numbers: $3 - 2 = 1$
* Subtract fractions: $\frac{5}{6} - \frac{1}{6} = \frac{4}{6}$
* Reduce fraction: $\frac{4}{6}$ simplifies to $\frac{2}{3}$
* Answer: $1 \frac{2}{3}$

8. $8 \frac{9}{10} - 8 \frac{1}{10}$
* Subtract whole numbers: $8 - 8 = 0$
* Subtract fractions: $\frac{9}{10} - \frac{1}{10} = \frac{8}{10}$
* Reduce fraction: $\frac{8}{10}$ simplifies to $\frac{4}{5}$
* Answer: $\frac{4}{5}$

9. $5 \frac{7}{10} - 5 \frac{5}{10}$
* Subtract whole numbers: $5 - 5 = 0$
* Subtract fractions: $\frac{7}{10} - \frac{5}{10} = \frac{2}{10}$
* Reduce fraction: $\frac{2}{10}$ simplifies to $\frac{1}{5}$
* Answer: $\frac{1}{5}$

10. $6 \frac{7}{10} - 3 \frac{5}{10}$
* Subtract whole numbers: $6 - 3 = 3$
* Subtract fractions: $\frac{7}{10} - \frac{5}{10} = \frac{2}{10}$
* Reduce fraction: $\frac{2}{10}$ simplifies to $\frac{1}{5}$
* Answer: $3 \frac{1}{5}$

11. $7 \frac{8}{9} - 4 \frac{2}{9}$
* Subtract whole numbers: $7 - 4 = 3$
* Subtract fractions: $\frac{8}{9} - \frac{2}{9} = \frac{6}{9}$
* Reduce fraction: $\frac{6}{9}$ simplifies to $\frac{2}{3}$
* Answer: $3 \frac{2}{3}$

12. $5 \frac{6}{9} - 5 \frac{3}{9}$
* Subtract whole numbers: $5 - 5 = 0$
* Subtract fractions: $\frac{6}{9} - \frac{3}{9} = \frac{3}{9}$
* Reduce fraction: $\frac{3}{9}$ simplifies to $\frac{1}{3}$
* Answer: $\frac{1}{3}$

13. $6 \frac{8}{9} - 5 \frac{2}{9}$
* Subtract whole numbers: $6 - 5 = 1$
* Subtract fractions: $\frac{8}{9} - \frac{2}{9} = \frac{6}{9}$
* Reduce fraction: $\frac{6}{9}$ simplifies to $\frac{2}{3}$
* Answer: $1 \frac{2}{3}$

14. $9 \frac{7}{8} - 5 \frac{1}{8}$
* Subtract whole numbers: $9 - 5 = 4$
* Subtract fractions: $\frac{7}{8} - \frac{1}{8} = \frac{6}{8}$
* Reduce fraction: $\frac{6}{8}$ simplifies to $\frac{3}{4}$
* Answer: $4 \frac{3}{4}$

Final Answer:
1. $4 \frac{1}{5}$
2. $\frac{1}{3}$
3. $4 \frac{1}{6}$
4. $2 \frac{2}{3}$
5. $1 \frac{2}{3}$
6. $\frac{1}{2}$
7. $1 \frac{2}{3}$
8. $\frac{4}{5}$
9. $\frac{1}{5}$
10. $3 \frac{1}{5}$
11. $3 \frac{2}{3}$
12. $\frac{1}{3}$
13. $1 \frac{2}{3}$
14. $4 \frac{3}{4}$