Math worksheet for practicing subtracting fractions, including examples and problems with different denominators.

Here are the step-by-step solutions for the subtraction fraction problems on the worksheet.

1) $\frac{6}{8} - \frac{2}{3}$
* Find a common denominator: The least common multiple for 8 and 3 is 24.
* Convert fractions:
* $\frac{6}{8} = \frac{6 \times 3}{8 \times 3} = \frac{18}{24}$
* $\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}$
* Subtract: $\frac{18}{24} - \frac{16}{24} = \frac{2}{24}$
* Simplify: Divide top and bottom by 2 to get $\frac{1}{12}$.

2) $\frac{7}{10} - \frac{4}{8}$
* Find a common denominator: The least common multiple for 10 and 8 is 40.
* Convert fractions:
* $\frac{7}{10} = \frac{7 \times 4}{10 \times 4} = \frac{28}{40}$
* $\frac{4}{8} = \frac{4 \times 5}{8 \times 5} = \frac{20}{40}$
* Subtract: $\frac{28}{40} - \frac{20}{40} = \frac{8}{40}$
* Simplify: Divide top and bottom by 8 to get $\frac{1}{5}$.

3) $\frac{6}{7} - \frac{7}{4}$
* Find a common denominator: The least common multiple for 7 and 4 is 28.
* Convert fractions:
* $\frac{6}{7} = \frac{6 \times 4}{7 \times 4} = \frac{24}{28}$
* $\frac{7}{4} = \frac{7 \times 7}{4 \times 7} = \frac{49}{28}$
* Subtract: $\frac{24}{28} - \frac{49}{28} = -\frac{25}{28}$

4) $\frac{8}{14} - \frac{2}{8}$
* Simplify first (optional but easier): $\frac{8}{14}$ simplifies to $\frac{4}{7}$. So, $\frac{4}{7} - \frac{2}{8}$.
* Find a common denominator: The least common multiple for 7 and 8 is 56.
* Convert fractions:
* $\frac{4}{7} = \frac{4 \times 8}{7 \times 8} = \frac{32}{56}$
* $\frac{2}{8} = \frac{2 \times 7}{8 \times 7} = \frac{14}{56}$
* Subtract: $\frac{32}{56} - \frac{14}{56} = \frac{18}{56}$
* Simplify: Divide top and bottom by 2 to get $\frac{9}{28}$.

5) $\frac{6}{12} - \frac{3}{6}$
* Simplify first: $\frac{6}{12}$ is equal to $\frac{1}{2}$. $\frac{3}{6}$ is also equal to $\frac{1}{2}$.
* Subtract: $\frac{1}{2} - \frac{1}{2} = 0$.

6) $\frac{4}{7} - \frac{2}{6}$
* Simplify first: $\frac{2}{6}$ simplifies to $\frac{1}{3}$. So, $\frac{4}{7} - \frac{1}{3}$.
* Find a common denominator: The least common multiple for 7 and 3 is 21.
* Convert fractions:
* $\frac{4}{7} = \frac{4 \times 3}{7 \times 3} = \frac{12}{21}$
* $\frac{1}{3} = \frac{1 \times 7}{3 \times 7} = \frac{7}{21}$
* Subtract: $\frac{12}{21} - \frac{7}{21} = \frac{5}{21}$.

7) $\frac{8}{13} - \frac{7}{13}$
* Same denominator: Since the bottoms are already the same, just subtract the tops.
* Subtract: $8 - 7 = 1$.
* Answer: $\frac{1}{13}$.

8) $\frac{5}{10} - \frac{6}{15}$
* Simplify first: $\frac{5}{10}$ becomes $\frac{1}{2}$. $\frac{6}{15}$ divides by 3 to become $\frac{2}{5}$. So, $\frac{1}{2} - \frac{2}{5}$.
* Find a common denominator: The least common multiple for 2 and 5 is 10.
* Convert fractions:
* $\frac{1}{2} = \frac{5}{10}$
* $\frac{2}{5} = \frac{4}{10}$
* Subtract: $\frac{5}{10} - \frac{4}{10} = \frac{1}{10}$.

9) $\frac{9}{17} - \frac{3}{12}$
* Simplify first: $\frac{3}{12}$ simplifies to $\frac{1}{4}$. So, $\frac{9}{17} - \frac{1}{4}$.
* Find a common denominator: The least common multiple for 17 and 4 is 68 ($17 \times 4$).
* Convert fractions:
* $\frac{9}{17} = \frac{9 \times 4}{17 \times 4} = \frac{36}{68}$
* $\frac{1}{4} = \frac{1 \times 17}{4 \times 17} = \frac{17}{68}$
* Subtract: $\frac{36}{68} - \frac{17}{68} = \frac{19}{68}$.

10) $\frac{4}{10} - \frac{1}{30}$
* Find a common denominator: 30 is a multiple of 10, so use 30.
* Convert fractions:
* $\frac{4}{10} = \frac{4 \times 3}{10 \times 3} = \frac{12}{30}$
* $\frac{1}{30}$ stays the same.
* Subtract: $\frac{12}{30} - \frac{1}{30} = \frac{11}{30}$.

Final Answer:
1) 1/12
2) 1/5
3) -25/28
4) 9/28
5) 0
6) 5/21
7) 1/13
8) 1/10
9) 19/68
10) 11/30