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find the sum: \\(\\frac{2}{18} + \\frac{1}{3} = \\frac{\\square}{\\squa…

Question

find the sum: \\(\frac{2}{18} + \frac{1}{3} = \frac{\square}{\square}\\)

Explanation:

Step1: Find common denominator

The denominators are 18 and 3. The least common denominator is 18. Rewrite $\frac{1}{3}$ with denominator 18: $\frac{1}{3}=\frac{1\times6}{3\times6}=\frac{6}{18}$

Step2: Add the fractions

Now add $\frac{2}{18}$ and $\frac{6}{18}$: $\frac{2 + 6}{18}=\frac{8}{18}$

Step3: Simplify the fraction

Simplify $\frac{8}{18}$ by dividing numerator and denominator by 2: $\frac{8\div2}{18\div2}=\frac{4}{9}$

Answer:

$\frac{4}{9}$