Questions: Multiply. 1 1/5 * 12 1/2

Solution Steps

To multiply the mixed numbers, first convert them to improper fractions. Then, multiply the numerators together and the denominators together. Finally, simplify the resulting fraction if possible.

Convert \( 1 \frac{1}{5} \) and \( 12 \frac{1}{2} \) to improper fractions: \[ 1 \frac{1}{5} = \frac{1 \cdot 5 + 1}{5} = \frac{6}{5} \] \[ 12 \frac{1}{2} = \frac{12 \cdot 2 + 1}{2} = \frac{25}{2} \]

Now, multiply the two improper fractions: \[ \frac{6}{5} \cdot \frac{25}{2} = \frac{6 \cdot 25}{5 \cdot 2} = \frac{150}{10} \]

Simplify the fraction: \[ \frac{150}{10} = 15 \]

Final Answer