Questions: 1/9 + 1/4 * 1/5 =

Solution Steps

To solve the given expression, first calculate the product of the fractions \(\frac{1}{4}\) and \(\frac{1}{5}\). Then, add the result to \(\frac{1}{9}\).

First, we calculate the product of the fractions \( \frac{1}{4} \) and \( \frac{1}{5} \): \[ \frac{1}{4} \cdot \frac{1}{5} = \frac{1 \cdot 1}{4 \cdot 5} = \frac{1}{20} \]

Next, we add the result from Step 1 to \( \frac{1}{9} \): \[ \frac{1}{9} + \frac{1}{20} \] To perform this addition, we need a common denominator. The least common multiple of 9 and 20 is 180. We convert each fraction: \[ \frac{1}{9} = \frac{20}{180} \quad \text{and} \quad \frac{1}{20} = \frac{9}{180} \] Now we can add them: \[ \frac{20}{180} + \frac{9}{180} = \frac{20 + 9}{180} = \frac{29}{180} \]

Final Answer