Mixed Number Subtraction 64B53F

1. **State the problem:** We need to subtract the mixed number $6 \frac{15}{16}$ from $9 \frac{5}{8}$. 2. **Convert mixed numbers to improper fractions:** $9 \frac{5}{8} = \frac{9 \times 8 + 5}{8} = \frac{72 + 5}{8} = \frac{77}{8}$ $6 \frac{15}{16} = \frac{6 \times 16 + 15}{16} = \frac{96 + 15}{16} = \frac{111}{16}$ 3. **Find a common denominator:** The denominators are $8$ and $16$. The least common denominator (LCD) is $16$. Convert $\frac{77}{8}$ to sixteenths: $\frac{77}{8} = \frac{77 \times 2}{8 \times 2} = \frac{154}{16}$ 4. **Subtract the fractions:** $$\frac{154}{16} - \frac{111}{16} = \frac{154 - 111}{16} = \frac{43}{16}$$ 5. **Convert the improper fraction back to a mixed number:** Divide $43$ by $16$: $43 \div 16 = 2$ remainder $11$, so $$\frac{43}{16} = 2 \frac{11}{16}$$ **Final answer:** $$9 \frac{5}{8} - 6 \frac{15}{16} = 2 \frac{11}{16}$$