Question

6\frac{3}{4} + 3\frac{1}{8} =

Explanation:

Step1: Convert mixed numbers to improper fractions or find a common denominator for the fractions. Let's find a common denominator for the fractional parts. The denominators are 4 and 8, so the common denominator is 8. Convert $\frac{3}{4}$ to eighths: $\frac{3}{4}=\frac{3\times2}{4\times2}=\frac{6}{8}$.

Step2: Add the whole numbers and the fractional parts separately. The whole numbers are 6 and 3, so $6 + 3 = 9$. The fractional parts are $\frac{6}{8}$ and $\frac{1}{8}$, so $\frac{6}{8}+\frac{1}{8}=\frac{7}{8}$.

Step3: Combine the whole number and the fractional part. $9+\frac{7}{8}=9\frac{7}{8}$.

Answer:

$9\frac{7}{8}$