Questions: Multiply. (Enter a reduced fraction. If an answer is undefined, enter UNDEFINED.) 6/13 * 1 1/12

$Multiply. (Enter a reduced fraction. If an answer is undefined, enter UNDEFINED.) 6/13 * 1 1/12$

Transcript text: Multiply. (Enter a reduced fraction. If an answer is undefined, enter UNDEFINED.) \[ \frac{6}{13} \cdot 1 \frac{1}{12} \]

Solution

Solution Steps

To multiply the given fractions, first convert the mixed number into an improper fraction. Then, multiply the numerators together and the denominators together. Finally, simplify the resulting fraction to its lowest terms.

Step 1: Convert the Mixed Number

The mixed number $ 1 \frac{1}{12} $ can be converted to an improper fraction. This is done by multiplying the whole number by the denominator and adding the numerator: \[ 1 \frac{1}{12} = 1 + \frac{1}{12} = \frac{12}{12} + \frac{1}{12} = \frac{13}{12} \]

Step 2: Multiply the Fractions

Now, we multiply the fractions $ \frac{6}{13} $ and $ \frac{13}{12} $: \[ \frac{6}{13} \cdot \frac{13}{12} = \frac{6 \cdot 13}{13 \cdot 12} = \frac{6}{12} \]

Step 3: Simplify the Result

Next, we simplify $ \frac{6}{12} $: \[ \frac{6}{12} = \frac{1}{2} \]