Questions: Add. 5/9 + 2/9

Add. 5/9 + 2/9
Transcript text: Add. \[ \frac{5}{9}+\frac{2}{9} \]
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Solution

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Solution Steps

Step 1: Identify the common denominator

To add the fractions \(\frac{5}{9}\) and \(\frac{2}{9b}\), we need to find a common denominator. The denominators are \(9\) and \(9b\). The least common denominator (LCD) is \(9b\).

Step 2: Rewrite each fraction with the common denominator

Rewrite \(\frac{5}{9}\) with the common denominator \(9b\): \[ \frac{5}{9} = \frac{5 \cdot b}{9 \cdot b} = \frac{5b}{9b} \]

The second fraction \(\frac{2}{9b}\) already has the common denominator \(9b\).

Step 3: Add the fractions

Now that both fractions have the same denominator, we can add them: \[ \frac{5b}{9b} + \frac{2}{9b} = \frac{5b + 2}{9b} \]

Final Answer

\[ \boxed{\frac{5b + 2}{9b}} \]

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