Solve the Mixed Number Equation: 5⅔ + ? = 6⅗

To solve the given equation $5\frac{2}{7} + ? = 6\frac{3}{7}$, follow these steps:

• Step 1: Convert mixed numbers into improper fractions to clarify the calculation.

The mixed number $5\frac{2}{7}$ is converted as follows:
The improper fraction becomes $5 \cdot 7 + 2 = \frac{37}{7}$.

The mixed number $6\frac{3}{7}$ is converted as follows:
The improper fraction becomes $6 \cdot 7 + 3 = \frac{45}{7}$.

• Step 2: Calculate the difference to find the missing number.

Since we need to find what $6\frac{3}{7}$ is when $5\frac{2}{7}$ is added to it, determine the difference:
Subtract the fraction $\frac{37}{7}$ from $\frac{45}{7}$:
$\frac{45}{7} - \frac{37}{7} = \frac{8}{7}$.

• Step 3: Convert the resulting improper fraction back to a mixed number.

The fraction $\frac{8}{7}$ can be converted to the mixed number $1\frac{1}{7}$. This involves dividing 8 by 7, which yields a quotient of 1 with a remainder of 1.

Thus, the missing number is indeed $1\frac{1}{7}$.

The correct choice among the options provided is: $1\frac{1}{7}$