(1/5 * 1/5) + ( 1/5 * 1/5 * 1/5)

To solve the expression \((1/5 * 1/5) + (1/5 * 1/5 * 1/5)\), let's calculate each part step-by-step. 1. First, calculate \(1/5 * 1/5\): \[ 1/5 * 1/5 = 1/25 \] 2. Next, calculate \(1/5 * 1/5 * 1/5\): \[ 1/5 * 1/5 * 1/5 = 1/125 \] 3. Now, we add the two results: \[ 1/25 + 1/125 \] 4. To add these fractions, we need a common denominator. The least common multiple of 25 and 125 is 125. We can convert \(1/25\) to a fraction with a denominator of 125: \[ 1/25 = 5/125 \] 5. Now add the two fractions: \[ 5/125 + 1/125 = 6/125 \] Thus, the final result is: \[ \frac{6}{125} \]