To solve the expression $\frac{3}{4} - \frac{5}{8} + \frac{3}{32}$, we need to find a common denominator.

Step 1: Find the Least Common Denominator (LCD)

The denominators are 4, 8, and 32. The least common denominator is 32.

Step 2: Convert each fraction to have a denominator of 32

• $\frac{3}{4} = \frac{3 \times 8}{4 \times 8} = \frac{24}{32}$
• $\frac{5}{8} = \frac{5 \times 4}{8 \times 4} = \frac{20}{32}$
• $\frac{3}{32}$ remains $\frac{3}{32}$

Step 3: Perform the operations

Now, substitute these values into the expression: $\frac{24}{32} - \frac{20}{32} + \frac{3}{32}$ First, perform the subtraction: $\frac{24}{32} - \frac{20}{32} = \frac{4}{32}$ Now, add $\frac{3}{32}$: $\frac{4}{32} + \frac{3}{32} = \frac{7}{32}$

Final Answer:

$\frac{7}{32}$

Would you like more details or have any questions?

Here are 5 related questions to consider:

1. How do you find the least common denominator for any set of fractions?
2. Can you simplify fractions that have larger numerators and denominators?
3. How would the result change if one of the fractions was negative?
4. How do you subtract and add fractions with different denominators quickly?
5. What is the general process for solving fractions with three or more terms?

Tip: Always simplify your answer if possible, but in this case, $\frac{7}{32}$ is already in its simplest form.