Multiply Three Fractions: 2/3 × 3/4 × 4/5 Step-by-Step

To solve this problem, we'll follow these steps:

• Step 1: Multiply the numerators of the fractions together.
• Step 2: Multiply the denominators of the fractions together.
• Step 3: Simplify the resulting fraction, if possible.

Now, let's work through each step:
Step 1: Multiply the numerators: $2 \times 3 \times 4 = 24$.
Step 2: Multiply the denominators: $3 \times 4 \times 5 = 60$.
Step 3: The resulting fraction is $\frac{24}{60}$. Simplify by finding the greatest common divisor of 24 and 60, which is 12.

Divide both the numerator and the denominator by 12:
Numerator: $\frac{24}{12} = 2$
Denominator: $\frac{60}{12} = 5$
Thus, the simplified fraction is $\frac{2}{5}$.

Therefore, the solution to the problem is $\frac{2}{5}$.