Finding the Unknown Fraction Value

We need to solve the equation for the question mark (?).

The equation is: $? + \frac{18}{24} + 3\frac{3}{4} = 23\frac{13}{24}$

Equation Conversion Steps

1. Convert all numbers into fractions with a common denominator of 24.

   • The first fraction is $\frac{18}{24}$.
   • Convert the mixed number $3\frac{3}{4}$: $3\frac{3}{4} = 3 + \frac{3}{4} = \frac{3 \times 24}{24} + \frac{3 \times 6}{4 \times 6} = \frac{72}{24} + \frac{18}{24} = \frac{90}{24}$
   • Convert the mixed number $23\frac{13}{24}$: $23\frac{13}{24} = \frac{(23 \times 24) + 13}{24} = \frac{552 + 13}{24} = \frac{565}{24}$

2. Substitute these values back into the equation:

   $? + \frac{18}{24} + \frac{90}{24} = \frac{565}{24}$

3. Combine the known fractions on the left side:

   $? + \frac{18 + 90}{24} = \frac{565}{24}$

   $? + \frac{108}{24} = \frac{565}{24}$

4. Isolate the question mark (?) by subtracting $\frac{108}{24}$ from both sides of the equation:

   $? = \frac{565}{24} - \frac{108}{24}$

5. Perform the subtraction:

   $? = \frac{565 - 108}{24}$

   $? = \frac{457}{24}$

6. Convert the improper fraction $\frac{457}{24}$ to a mixed number. Divide 457 by 24:

   $457 \div 24 = 19 \text{ remainder } 1$

   So, $? = 19\frac{1}{24}$

The question mark (?) is replaced by $19\frac{1}{24}$.