Questions: Multiply: 1/9 · 3/4 Give your answer as a fraction, reduced to lowest terms

Multiply: 1/9 · 3/4 Give your answer as a fraction, reduced to lowest terms
Transcript text: Multiply: $\frac{1}{9} \cdot \frac{3}{4}$ Give your answer as a fraction, reduced to lowest terms
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Solution

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Solution Steps

Step 1: Multiply the Numerators

To multiply the fractions, start by multiplying the numerators:

\[ 1 \times 3 = 3 \]

Step 2: Multiply the Denominators

Next, multiply the denominators:

\[ 9 \times 4 = 36 \]

Step 3: Form the Fraction

Combine the results from the previous steps to form the fraction:

\[ \frac{3}{36} \]

Step 4: Simplify the Fraction

Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 3 and 36 is 3.

Divide both the numerator and the denominator by their GCD:

\[ \frac{3 \div 3}{36 \div 3} = \frac{1}{12} \]

Final Answer

\[ \boxed{\frac{1}{12}} \]

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