Solve: Multiplying 7 by 2/5 Step-by-Step

To solve the problem $7 \times \frac{2}{5}$, we will follow a structured approach:

• Step 1: Multiply the whole number by the numerator of the fraction.
• Step 2: Retain the denominator of the fraction.
• Step 3: Simplify the resulting fraction, if possible.

Let's work through each step:

Step 1: Multiply the whole number by the numerator.
We have $7 \times 2 = 14$.

Step 2: Keep the denominator the same.
The resulting fraction is $\frac{14}{5}$.

Step 3: Convert the improper fraction to a mixed number if possible.
Divide the numerator by the denominator: $14 \div 5 = 2$ with a remainder of $4$.
This results in the mixed number $2\frac{4}{5}$.

Therefore, the solution to the problem $7 \times \frac{2}{5}$ is $2\frac{4}{5}$, which corresponds to choice 3 in the provided options.