Solve the Mixed Number Equation: Finding the Value in ? - 5⅚ = 1⅔

To solve this problem, follow these steps:

• Step 1: Convert the mixed numbers to improper fractions.
• Step 2: Perform the addition operation.
• Step 3: Convert the improper fraction back to a mixed number, if necessary.

Now, let's solve the problem:

Step 1: Convert the mixed numbers:
$5\frac{5}{6}$ is equivalent to $\frac{35}{6}$ (since $5 \times 6 + 5 = 35$).
$1\frac{2}{3}$ is equivalent to $\frac{5}{3}$ (since $1 \times 3 + 2 = 5$).

Step 2: Add $\frac{35}{6}$ to both sides of the equation:
$? = 1\frac{2}{3} + 5\frac{5}{6}$

Convert $1\frac{2}{3}$ to have a common denominator with $\frac{35}{6}$:
$\frac{5}{3} = \frac{10}{6}$ (because we multiply both the numerator and denominator by 2)

Now perform the addition:
$? = \frac{10}{6} + \frac{35}{6} = \frac{45}{6}$

Step 3: Simplify the improper fraction:
$\frac{45}{6} = \frac{15}{2}$ (by dividing both the numerator and denominator by 3)

Convert $\frac{15}{2}$ back to a mixed number:
$\frac{15}{2} = 7\frac{1}{2}$ (since 15 divided by 2 is 7 with a remainder 1)

Therefore, the missing number is $7\frac{1}{2}$.