Questions: Multiply. 1/6 * 2/3 =

Multiply. 1/6 * 2/3 =
Transcript text: Multiply. \[ \frac{1}{6} \cdot \frac{2}{3}= \]
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Solution

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Solution Steps

To multiply two fractions, multiply the numerators together to get the new numerator and the denominators together to get the new denominator. Simplify the resulting fraction if possible.

Step 1: Multiply the Fractions

To multiply the fractions \( \frac{1}{6} \) and \( \frac{2}{3} \), we multiply the numerators and the denominators: \[ \frac{1 \cdot 2}{6 \cdot 3} = \frac{2}{18} \]

Step 2: Simplify the Result

Next, we simplify the fraction \( \frac{2}{18} \) by finding the greatest common divisor (GCD) of the numerator and denominator, which is 2: \[ \frac{2 \div 2}{18 \div 2} = \frac{1}{9} \]

Final Answer

The result of multiplying \( \frac{1}{6} \) and \( \frac{2}{3} \) is \[ \boxed{\frac{1}{9}} \]

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