Multiply 4 × 1¾: Mixed Number Multiplication Problem

To solve this mathematical problem, let's follow the outlined approach:

• Step 1: Convert the mixed number to an improper fraction.
• Step 2: Multiply the improper fraction by the whole number.
• Step 3: Simplify the result, if needed.

Let's begin with Step 1 by converting the mixed number $1\frac{3}{4}$ to an improper fraction. To do this, multiply the whole number (1) by the denominator (4) of the fraction, and then add the numerator (3):

$1 \times 4 + 3 = 4 + 3 = 7$

This gives us the improper fraction $\frac{7}{4}$.

Next, proceed to Step 2: Multiply the whole number, 4, by the improper fraction we found:

$4 \times \frac{7}{4} = \frac{4 \times 7}{4} = \frac{28}{4}$

For Step 3, simplify $\frac{28}{4}$:

$\frac{28}{4} = 7$

Thus, the product of the whole number 4 and the mixed number $1\frac{3}{4}$ is $7$.