Mixed Number Addition: Solve 6¼ + 1⅗ Step by Step

To solve this problem, we'll add the mixed numbers $6\frac{1}{4}$ and $1\frac{3}{5}$ by following these steps:

• First, separate the whole numbers from the fractional parts: The whole numbers are $6$ and $1$, and the fractions are $\frac{1}{4}$ and $\frac{3}{5}$.
• Add the whole numbers: $6 + 1 = 7$.
• Next, find a common denominator for the fractions $\frac{1}{4}$ and $\frac{3}{5}$. The least common denominator (LCD) of 4 and 5 is 20.
• Convert each fraction to have a denominator of 20: $\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}$, and $\frac{3}{5} = \frac{3 \times 4}{5 \times 4} = \frac{12}{20}$.
• Add the converted fractions: $\frac{5}{20} + \frac{12}{20} = \frac{17}{20}$.
• Combine the sum of the whole numbers with the sum of the fractions: $7 + \frac{17}{20} = 7\frac{17}{20}$.

Therefore, the final result of $6\frac{1}{4} + 1\frac{3}{5}$ is $7\frac{17}{20}$.