Questions: Multiply. 12/13 × 9/8

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.

To multiply the fractions \(\frac{12}{13}\) and \(\frac{9}{8}\), first multiply the numerators:
\[ 12 \times 9 = 108 \]

Next, multiply the denominators:
\[ 13 \times 8 = 104 \]

Combine the results from Steps 1 and 2 to form the new fraction:
\[ \frac{108}{104} \]

Simplify \(\frac{108}{104}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
\[ \frac{108 \div 4}{104 \div 4} = \frac{27}{26} \]

Final Answer