Add. \[ \frac{7}{8}+\frac{7}{10} \] \( \frac{7}{8}+\frac{7}{10}=\square \) (Type a whole number, fraction, or mixed numb

To add the fractions \(\frac{7}{8}\) and \(\frac{7}{10}\), follow these steps: 1. **Find a Common Denominator:** - The least common multiple (LCM) of 8 and 10 is 40. 2. **Convert Each Fraction:** - \(\frac{7}{8} = \frac{7 \times 5}{8 \times 5} = \frac{35}{40}\) - \(\frac{7}{10} = \frac{7 \times 4}{10 \times 4} = \frac{28}{40}\) 3. **Add the Fractions:** \[ \frac{35}{40} + \frac{28}{40} = \frac{35 + 28}{40} = \frac{63}{40} \] 4. **Simplify (Optional):** - \(\frac{63}{40}\) is an improper fraction and can be written as a mixed number: \[ 1 \frac{23}{40} \] **Final Answer:** \[ \frac{7}{8} + \frac{7}{10} = \frac{63}{40} \quad \text{or} \quad 1\,\frac{23}{40} \]