Multiply Three Fractions: 1/3 × 2/4 × 7/5 Step-by-Step

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

• Step 1: Multiply the numerators of all fractions.
• Step 2: Multiply the denominators of all fractions.
• Step 3: Simplify the resulting fraction.

Now, let's work through each step:
Step 1: Multiply the numerators: $1 \times 2 \times 7 = 14$.
Step 2: Multiply the denominators: $3 \times 4 \times 5 = 60$.
Step 3: The resulting fraction is $\frac{14}{60}$. Now, we simplify this fraction.

To simplify $\frac{14}{60}$, find the greatest common divisor (GCD) of 14 and 60, which is 2. Divide both the numerator and the denominator by their GCD:
$\frac{14}{60} = \frac{14 \div 2}{60 \div 2} = \frac{7}{30}$.

Therefore, the solution to the problem is $\frac{7}{30}$, which corresponds to choice 3.