Question

multiply and simplify.
\frac{1}{18} \cdot \frac{6}{17}

\frac{1}{18} \cdot \frac{6}{17} = \square (type a simplified fraction.)

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions \(\frac{a}{b}\) and \(\frac{c}{d}\), we use the rule \(\frac{a}{b}\cdot\frac{c}{d}=\frac{a\cdot c}{b\cdot d}\). So for \(\frac{1}{18}\cdot\frac{6}{17}\), we have \(\frac{1\times6}{18\times17}=\frac{6}{306}\).

Step2: Simplify the fraction

We can simplify \(\frac{6}{306}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 6. \(\frac{6\div6}{306\div6}=\frac{1}{51}\).

Answer:

\(\frac{1}{51}\)