Solve the Fraction Subtraction: 3/4 - 3/9 Step by Step

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

• Step 1: Find a common denominator for the fractions $\frac{3}{4}$ and $\frac{3}{9}$.
• Step 2: Convert each fraction to have this common denominator.
• Step 3: Subtract the numerators while keeping the common denominator.
• Step 4: Simplify the resultant fraction if possible.

Now, let's work through each step:

Step 1: The denominators of the fractions are 4 and 9. The least common multiple of 4 and 9 is 36. Therefore, 36 will be our common denominator.

Step 2: Convert $\frac{3}{4}$ and $\frac{3}{9}$ to have a denominator of 36:

$\frac{3}{4} \times \frac{9}{9} = \frac{27}{36}$ and $\frac{3}{9} \times \frac{4}{4} = \frac{12}{36}$

Step 3: Now, subtract the fractions:

$\frac{27}{36} - \frac{12}{36} = \frac{15}{36}$

Step 4: Simplify $\frac{15}{36}$:

Both 15 and 36 can be divided by their greatest common divisor, which is 3. Dividing both the numerator and denominator by 3, we get:

$\frac{15 \div 3}{36 \div 3} = \frac{5}{12}$

Therefore, the solution to the problem is $\frac{5}{12}$.