Solve: 3 × 6/7 - Multiplying a Whole Number by a Fraction

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

• Convert the whole number into a fraction.
• Multiply the fractions.
• Simplify the result.

Now, let's work through each step:

Step 1: Convert the whole number 3 into a fraction:
3 becomes $\frac{3}{1}$.

Step 2: Multiply the fraction $\frac{3}{1}$ by $\frac{6}{7}$:
The numerators are $3 \times 6 = 18$.
The denominators are $1 \times 7 = 7$.
The result is $\frac{18}{7}$.

Step 3: Convert $\frac{18}{7}$ to a mixed number:
Divide the numerator by the denominator: 18 divided by 7 is 2 with a remainder of 4.
Thus, $\frac{18}{7} = 2\frac{4}{7}$.

Therefore, the solution to the problem is $2\frac{4}{7}$.