Questions: Simplify the complex fraction. (1/18) / (2/5)

$Simplify the complex fraction. (1/18) / (2/5)$

Transcript text: Simplify the complex fraction. \[ \frac{\frac{1}{18}}{\frac{2}{5}} \]

Solution

To simplify the complex fraction, we can multiply the numerator by the reciprocal of the denominator.

Step 1: Identify the Numerator and Denominator

The given complex fraction is: \[ \frac{\frac{1}{18}}{\frac{2}{5}} \] Here, the numerator is $\frac{1}{18}$ and the denominator is $\frac{2}{5}$.

Step 2: Multiply by the Reciprocal of the Denominator

To simplify the complex fraction, multiply the numerator by the reciprocal of the denominator: \[ \frac{1}{18} \times \frac{5}{2} \]

Step 3: Perform the Multiplication

Calculate the product: \[ \frac{1 \times 5}{18 \times 2} = \frac{5}{36} \]

The simplified form of the complex fraction is: \[ \boxed{\frac{5}{36}} \]

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