Multiply 4 by 1⅕: Step-by-Step Mixed Number Calculation

$4\times1\frac{1}{5}=$

To solve the problem, we will follow these steps:

• Step 1: Convert the mixed number $1\frac{1}{5}$ to an improper fraction.
• Step 2: Multiply this improper fraction by the whole number 4.
• Step 3: Convert the resulting improper fraction back to a mixed number.

Now, let's work through each step:

Step 1: Convert $1\frac{1}{5}$ to an improper fraction.

The mixed number $1\frac{1}{5}$ can be converted as follows:
Multiply the whole number 1 by the denominator 5, and add the numerator 1:
$1 \times 5 + 1 = 6$.
So, $1\frac{1}{5}$ is equivalent to $\frac{6}{5}$.

Step 2: Multiply $4$ by $\frac{6}{5}$.

We perform the multiplication: $4 \times \frac{6}{5} = \frac{4 \times 6}{5} = \frac{24}{5}$.

Step 3: Convert $\frac{24}{5}$ back to a mixed number.

Divide 24 by 5 to find how many whole parts there are:
$24 \div 5 = 4$ with a remainder of 4.
Thus, $\frac{24}{5}$ can be expressed as $4\frac{4}{5}$.

Therefore, the solution to the problem is $4\frac{4}{5}$.