Grade 6 Adding Fractions Worksheets | Free Printables | Math ... - Free Printable

To solve these fraction subtraction problems, we need to follow a few simple steps:

1. Find a Common Denominator: This is a number that both denominators can divide into evenly.
2. Convert the Fractions: Change each fraction so they have the same denominator.
3. Subtract the Numerators: Once the fractions have the same denominator, subtract the top numbers (numerators).
4. Simplify if Needed: Reduce the fraction to its simplest form if possible.

Let's go through each problem step by step.

Problem 1: $\frac{1}{2} - \frac{1}{11}$

1. Common Denominator: The least common multiple of 2 and 11 is 22.
2. Convert the Fractions:
- $\frac{1}{2} = \frac{1 \times 11}{2 \times 11} = \frac{11}{22}$
- $\frac{1}{11} = \frac{1 \times 2}{11 \times 2} = \frac{2}{22}$
3. Subtract the Numerators: $\frac{11}{22} - \frac{2}{22} = \frac{11 - 2}{22} = \frac{9}{22}$
4. Simplify if Needed: $\frac{9}{22}$ is already in simplest form.

Problem 2: $\frac{4}{6} - \frac{2}{6}$

1. Common Denominator: Both fractions already have the same denominator, 6.
2. Subtract the Numerators: $\frac{4}{6} - \frac{2}{6} = \frac{4 - 2}{6} = \frac{2}{6}$
3. Simplify if Needed: $\frac{2}{6} = \frac{1}{3}$

Problem 3: $\frac{1}{3} - \frac{1}{4}$

1. Common Denominator: The least common multiple of 3 and 4 is 12.
2. Convert the Fractions:
- $\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}$
- $\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$
3. Subtract the Numerators: $\frac{4}{12} - \frac{3}{12} = \frac{4 - 3}{12} = \frac{1}{12}$
4. Simplify if Needed: $\frac{1}{12}$ is already in simplest form.

Problem 4: $\frac{2}{3} - \frac{3}{8}$

1. Common Denominator: The least common multiple of 3 and 8 is 24.
2. Convert the Fractions:
- $\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}$
- $\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}$
3. Subtract the Numerators: $\frac{16}{24} - \frac{9}{24} = \frac{16 - 9}{24} = \frac{7}{24}$
4. Simplify if Needed: $\frac{7}{24}$ is already in simplest form.

Problem 5: $\frac{2}{3} - \frac{1}{4}$

1. Common Denominator: The least common multiple of 3 and 4 is 12.
2. Convert the Fractions:
- $\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$
- $\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$
3. Subtract the Numerators: $\frac{8}{12} - \frac{3}{12} = \frac{8 - 3}{12} = \frac{5}{12}$
4. Simplify if Needed: $\frac{5}{12}$ is already in simplest form.

Problem 6: $\frac{4}{6} - \frac{4}{8}$

1. Common Denominator: The least common multiple of 6 and 8 is 24.
2. Convert the Fractions:
- $\frac{4}{6} = \frac{4 \times 4}{6 \times 4} = \frac{16}{24}$
- $\frac{4}{8} = \frac{4 \times 3}{8 \times 3} = \frac{12}{24}$
3. Subtract the Numerators: $\frac{16}{24} - \frac{12}{24} = \frac{16 - 12}{24} = \frac{4}{24}$
4. Simplify if Needed: $\frac{4}{24} = \frac{1}{6}$

Problem 7: $\frac{2}{8} - \frac{1}{8}$

1. Common Denominator: Both fractions already have the same denominator, 8.
2. Subtract the Numerators: $\frac{2}{8} - \frac{1}{8} = \frac{2 - 1}{8} = \frac{1}{8}$
3. Simplify if Needed: $\frac{1}{8}$ is already in simplest form.

Problem 8: $\frac{2}{4} - \frac{2}{7}$

1. Common Denominator: The least common multiple of 4 and 7 is 28.
2. Convert the Fractions:
- $\frac{2}{4} = \frac{2 \times 7}{4 \times 7} = \frac{14}{28}$
- $\frac{2}{7} = \frac{2 \times 4}{7 \times 4} = \frac{8}{28}$
3. Subtract the Numerators: $\frac{14}{28} - \frac{8}{28} = \frac{14 - 8}{28} = \frac{6}{28}$
4. Simplify if Needed: $\frac{6}{28} = \frac{3}{14}$

Problem 9: $\frac{7}{9} - \frac{13}{21}$

1. Common Denominator: The least common multiple of 9 and 21 is 63.
2. Convert the Fractions:
- $\frac{7}{9} = \frac{7 \times 7}{9 \times 7} = \frac{49}{63}$
- $\frac{13}{21} = \frac{13 \times 3}{21 \times 3} = \frac{39}{63}$
3. Subtract the Numerators: $\frac{49}{63} - \frac{39}{63} = \frac{49 - 39}{63} = \frac{10}{63}$
4. Simplify if Needed: $\frac{10}{63}$ is already in simplest form.

Problem 10: $\frac{9}{15} - \frac{1}{2}$

1. Common Denominator: The least common multiple of 15 and 2 is 30.
2. Convert the Fractions:
- $\frac{9}{15} = \frac{9 \times 2}{15 \times 2} = \frac{18}{30}$
- $\frac{1}{2} = \frac{1 \times 15}{2 \times 15} = \frac{15}{30}$
3. Subtract the Numerators: $\frac{18}{30} - \frac{15}{30} = \frac{18 - 15}{30} = \frac{3}{30}$
4. Simplify if Needed: $\frac{3}{30} = \frac{1}{10}$

Final Answer:
1. $\frac{9}{22}$
2. $\frac{1}{3}$
3. $\frac{1}{12}$
4. $\frac{7}{24}$
5. $\frac{5}{12}$
6. $\frac{1}{6}$
7. $\frac{1}{8}$
8. $\frac{3}{14}$
9. $\frac{10}{63}$
10. $\frac{1}{10}$