Question

perform the operation below. express your answer as a mixed number in simple \\(4\frac{1}{5} + 2\frac{1}{4}\\)

Explanation:

Step1: Separate whole and fractional parts

For \(4\frac{1}{5}\), whole part is \(4\), fractional part is \(\frac{1}{5}\). For \(2\frac{1}{4}\), whole part is \(2\), fractional part is \(\frac{1}{4}\). Add whole parts: \(4 + 2 = 6\). Add fractional parts: \(\frac{1}{5}+\frac{1}{4}\).

Step2: Find common denominator for fractions

The least common denominator of \(5\) and \(4\) is \(20\). Convert fractions: \(\frac{1}{5}=\frac{1\times4}{5\times4}=\frac{4}{20}\), \(\frac{1}{4}=\frac{1\times5}{4\times5}=\frac{5}{20}\). Now add: \(\frac{4}{20}+\frac{5}{20}=\frac{9}{20}\).

Step3: Combine whole and fractional results

Combine the sum of whole parts and sum of fractional parts: \(6+\frac{9}{20}=6\frac{9}{20}\).

Answer:

\(6\frac{9}{20}\)