Questions: 8/9 × 1/12

Solution Steps

The given problem involves multiplying two fractions: \[ \frac{6}{8} \times \frac{12}{14} \]

Simplify each fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.

For \(\frac{6}{8}\):

• GCD of 6 and 8 is 2.
• Simplify: \(\frac{6 \div 2}{8 \div 2} = \frac{3}{4}\)

For \(\frac{12}{14}\):

• GCD of 12 and 14 is 2.
• Simplify: \(\frac{12 \div 2}{14 \div 2} = \frac{6}{7}\)

Multiply the numerators and the denominators of the simplified fractions: \[ \frac{3}{4} \times \frac{6}{7} = \frac{3 \times 6}{4 \times 7} = \frac{18}{28} \]

Simplify \(\frac{18}{28}\) by finding the GCD of 18 and 28, which is 2: \[ \frac{18 \div 2}{28 \div 2} = \frac{9}{14} \]

Final Answer