Question

multiply and simplify.
\frac{1}{9} \cdot \frac{3}{19}

\frac{1}{9} \cdot \frac{3}{19} = \square (type a simplified fraction.)

Explanation:

Step1: Multiply numerators

To multiply fractions, we first multiply the numerators. The numerators are 1 and 3, so \(1\times3 = 3\).

Step2: Multiply denominators

Next, we multiply the denominators. The denominators are 9 and 19, so \(9\times19 = 171\).

Step3: Simplify the fraction

Now we have the fraction \(\frac{3}{171}\). We can simplify this by dividing both the numerator and the denominator by their greatest common divisor, which is 3. So, \(\frac{3\div3}{171\div3}=\frac{1}{57}\).

Answer:

\(\frac{1}{57}\)