(2/3-4/9) • 3/8

To solve the expression \((\frac{2}{3} - \frac{4}{9}) \cdot \frac{3}{8}\), we will follow these steps:

1. Simplify the expression inside the parentheses: \(\frac{2}{3} - \frac{4}{9}\).
2. Multiply the result by \(\frac{3}{8}\).

Step 1: Find a common denominator

The common denominator for \(\frac{2}{3}\) and \(\frac{4}{9}\) is 9.

• Convert \(\frac{2}{3}\) to have a denominator of 9: \[ \frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9} \]

Now, we can perform the subtraction: \[ \frac{6}{9} - \frac{4}{9} = \frac{6 - 4}{9} = \frac{2}{9} \]

Step 2: Multiply by \(\frac{3}{8}\)

Now we have: \[ \frac{2}{9} \cdot \frac{3}{8} \]

Multiply the fractions: \[ \frac{2 \cdot 3}{9 \cdot 8} = \frac{6}{72} \]

Step 3: Simplify \(\frac{6}{72}\)

Now simplify \(\frac{6}{72}\): \[ \frac{6}{72} = \frac{1}{12} \]

Final Result

Thus, the result of \((\frac{2}{3} - \frac{4}{9}) \cdot \frac{3}{8}\) is \(\frac{1}{12}\).