Compute and simplify \( \frac{6}{5} \times \frac{3}{14} \)

To compute and simplify the expression: \[ \frac{6}{5} \times \frac{3}{14} \] **Step 1: Multiply the Numerators and the Denominators** Multiply the numerators (top numbers) together and the denominators (bottom numbers) together: \[ \frac{6 \times 3}{5 \times 14} = \frac{18}{70} \] **Step 2: Simplify the Fraction** Find the greatest common divisor (GCD) of 18 and 70 to simplify the fraction. - **Factors of 18:** 1, 2, 3, 6, 9, 18 - **Factors of 70:** 1, 2, 5, 7, 10, 14, 35, 70 The greatest common factor is **2**. Divide both the numerator and the denominator by 2: \[ \frac{18 \div 2}{70 \div 2} = \frac{9}{35} \] **Final Answer:** \[ \frac{9}{35} \]