Solve Mixed Number Subtraction: 3⅜ - 1¾

To solve this problem, we'll follow these steps:

• Step 1: Convert $1\frac{3}{4}$ to a fraction with a denominator of 8.
• Step 2: Subtract the whole numbers and fractions separately.
• Step 3: Simplify the resulting fraction and combine it with the whole number part.

Now, let's work through each step:

Step 1: Convert $1\frac{3}{4}$ to a fraction with a denominator of 8.
Since $\frac{3}{4} = \frac{6}{8}$ (by multiplying numerator and denominator by 2), we have:
$1\frac{3}{4} = 1 + \frac{6}{8} = \frac{8}{8} + \frac{6}{8} = \frac{14}{8}$.

Step 2: Subtract the whole numbers and fractions separately.
Original problem: $3\frac{2}{8} - 1\frac{3}{4} = \frac{26}{8} - \frac{14}{8}$.

Subtract the fractions:
$\frac{26}{8} - \frac{14}{8} = \frac{12}{8}$.

Step 3: Simplify the resulting fraction and combine it with the whole number part.
$\frac{12}{8} = \frac{3}{2}$.

Therefore, after subtracting and simplifying, we find that:

Therefore, the solution to the problem is $1\frac{1}{2}$.