Find:
` 8/(15)-3/(11)`

Answer

To solve the problem \( \frac{8}{15} - \frac{3}{11} \), we will follow these steps:

### Step 1: Find the Least Common Multiple (LCM)
First, we need to find the LCM of the denominators 15 and 11. Since 15 and 11 are coprime (they have no common factors other than 1), the LCM is simply the product of the two numbers.

\[ \text{LCM}(15, 11) = 15 \times 11 = 165 \]

### Step 2: Convert each fraction to have the common denominator
Now we will convert each fraction to have the common denominator of 165.

For \( \frac{8}{15} \):
\[ \frac{8}{15} = \frac{8 \times 11}{15 \times 11} = \frac{88}{165} \]

For \( \frac{3}{11} \):
\[ \frac{3}{11} = \frac{3 \times 15}{11 \times 15} = \frac{45}{165} \]

### Step 3: Subtract the fractions
Now that both fractions have the same denominator, we can subtract them:

\[ \frac{88}{165} - \frac{45}{165} = \frac{88 - 45}{165} = \frac{43}{165} \]

### Final Answer
Thus, the result of \( \frac{8}{15} - \frac{3}{11} \) is:
\[ \frac{43}{165} \]

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