Question

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Explanation:

Step1: Add the fractions of walnuts and almonds

To add \(\frac{2}{7}\) and \(\frac{3}{7}\), since they have the same denominator, we add the numerators: \(\frac{2 + 3}{7}=\frac{5}{7}\).

Step2: Add the result to the fraction of peanuts

Now we need to add \(\frac{2}{3}\) and \(\frac{5}{7}\). First, find a common denominator, which is \(3\times7 = 21\). Convert the fractions: \(\frac{2}{3}=\frac{2\times7}{3\times7}=\frac{14}{21}\) and \(\frac{5}{7}=\frac{5\times3}{7\times3}=\frac{15}{21}\). Then add them: \(\frac{14}{21}+\frac{15}{21}=\frac{14 + 15}{21}=\frac{29}{21}\) or \(1\frac{8}{21}\).

Answer:

\(\frac{29}{21}\) (or \(1\frac{8}{21}\))