Questions: 8/27 4/27 +6/27

8/27
4/27
+6/27
Transcript text: $\begin{array}{r}\frac{8}{27} \\ \frac{4}{27} \\ +\frac{6}{27} \\ \hline\end{array}$
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Solution

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Solution Steps

Step 1: Identify the fractions to add

The given fractions are: \[ \frac{8}{27}, \quad \frac{4}{27}, \quad \text{and} \quad \frac{6}{27}. \]

Step 2: Add the numerators

Since all the fractions have the same denominator, we can add the numerators directly: \[ 8 + 4 + 6 = 18. \]

Step 3: Write the sum as a fraction

The sum of the numerators is 18, and the common denominator is 27. Thus, the sum of the fractions is: \[ \frac{18}{27}. \]

Step 4: Simplify the fraction

The fraction \(\frac{18}{27}\) can be simplified by dividing both the numerator and the denominator by 9: \[ \frac{18 \div 9}{27 \div 9} = \frac{2}{3}. \]

Final Answer

\[ \boxed{\frac{2}{3}} \]

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