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Evaluate the sum: 5/(18)+11/(18)...

Evaluate the sum:
`5/(18)+11/(18)`

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The correct Answer is:
To evaluate the sum \( \frac{5}{18} + \frac{11}{18} \), we can follow these steps: ### Step 1: Identify the fractions We have two fractions: \( \frac{5}{18} \) and \( \frac{11}{18} \). ### Step 2: Check if the denominators are the same Since both fractions have the same denominator of 18, we can proceed to add them directly. ### Step 3: Add the numerators We add the numerators while keeping the common denominator: \[ \frac{5 + 11}{18} = \frac{16}{18} \] ### Step 4: Simplify the fraction Now, we need to simplify \( \frac{16}{18} \). We can do this by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 16 and 18 is 2. We divide both the numerator and the denominator by 2: \[ \frac{16 \div 2}{18 \div 2} = \frac{8}{9} \] ### Final Answer Thus, the sum \( \frac{5}{18} + \frac{11}{18} \) simplifies to \( \frac{8}{9} \). ---
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