Subtracting fractions and mixed numbers involves a few steps. Here's how you can approach each type:

1. Subtracting Fractions:

• Step 1: Ensure Common Denominators: If the denominators of the fractions are different, you need to find the least common denominator (LCD).
• Step 2: Adjust the Fractions: Rewrite the fractions so they have the same denominator.
• Step 3: Subtract the Numerators: Subtract the numerators of the two fractions, keeping the denominator the same.
• Step 4: Simplify if Necessary: Simplify the resulting fraction if possible.

Example: $\frac{3}{4} - \frac{1}{6}$

• The LCD of 4 and 6 is 12. $\frac{3}{4} = \frac{9}{12}, \quad \frac{1}{6} = \frac{2}{12}$ $\frac{9}{12} - \frac{2}{12} = \frac{7}{12}$

2. Subtracting Mixed Numbers:

• Step 1: Convert to Improper Fractions: If you're subtracting mixed numbers, convert them into improper fractions.
• Step 2: Find the Common Denominator: Just like with regular fractions, find the least common denominator.
• Step 3: Subtract the Fractions: Subtract the fractions and simplify if necessary.
• Step 4: Convert Back to a Mixed Number (if required): If your result is an improper fraction, you can convert it back to a mixed number.

Example: $3 \frac{2}{3} - 1 \frac{5}{6}$

• Convert to improper fractions: $3 \frac{2}{3} = \frac{11}{3}, \quad 1 \frac{5}{6} = \frac{11}{6}$
• Find the common denominator (6): $\frac{11}{3} = \frac{22}{6}$ $\frac{22}{6} - \frac{11}{6} = \frac{11}{6}$
• Convert back to a mixed number: $\frac{11}{6} = 1 \frac{5}{6}$

Would you like more details on any specific step or have any questions?

Here are 5 related questions to expand on the topic:

1. How do you find the least common denominator for two fractions?
2. How do you subtract fractions with unlike denominators?
3. How do you simplify improper fractions after subtraction?
4. What steps are involved in converting mixed numbers into improper fractions?
5. How can subtracting fractions with variables differ from subtracting numeric fractions?

Tip: Always remember to simplify the final answer by reducing the fraction to its lowest terms.