1. **State the problem:** Add the fractions and mixed numbers: $\frac{7}{8} + 4 \frac{1}{4} + \frac{15}{16}$. 2. **Convert mixed number to improper fraction:** $4 \frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4}$. 3. **Find common denominator:** The denominators are 8, 4, and 16. The least common denominator (LCD) is 16. 4. **Convert all fractions to have denominator 16:** $\frac{7}{8} = \frac{7 \times 2}{8 \times 2} = \frac{14}{16}$ $\frac{17}{4} = \frac{17 \times 4}{4 \times 4} = \frac{68}{16}$ $\frac{15}{16} = \frac{15}{16}$ (already with denominator 16) 5. **Add the fractions:** $$\frac{14}{16} + \frac{68}{16} + \frac{15}{16} = \frac{14 + 68 + 15}{16} = \frac{97}{16}$$ 6. **Convert the improper fraction back to a mixed number:** Divide 97 by 16: $97 \div 16 = 6$ remainder $1$ So, $$\frac{97}{16} = 6 \frac{1}{16}$$ **Final answer:** $6 \frac{1}{16}$