Multiply Fractions: Solving 4/3 × 1/2 × 6/5 Step by Step

To solve the multiplication of the fractions $\frac{4}{3}$, $\frac{1}{2}$, and $\frac{6}{5}$, we'll follow these steps:

• Step 1: Multiply the numerators: $4 \times 1 \times 6 = 24$.
• Step 2: Multiply the denominators: $3 \times 2 \times 5 = 30$.
• Step 3: Form the new fraction: $\frac{24}{30}$.
• Step 4: Simplify the fraction $\frac{24}{30}$:
  Find the greatest common divisor (GCD) of 24 and 30, which is 6.
  Divide both the numerator and the denominator by their GCD:
  $\frac{24 \div 6}{30 \div 6} = \frac{4}{5}$.

Therefore, the product of $\frac{4}{3} \times \frac{1}{2} \times \frac{6}{5} = \frac{4}{5}$.

The correct choice from the given options is : $\frac{4}{5}$.