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

Question

4×115= 4\times1\frac{1}{5}=

Video Solution

Step-by-Step Solution

To solve the problem, we will follow these steps:

  • Step 1: Convert the mixed number 115 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 115 1\frac{1}{5} to an improper fraction.

The mixed number 115 1\frac{1}{5} can be converted as follows:
Multiply the whole number 1 by the denominator 5, and add the numerator 1:
1×5+1=6 1 \times 5 + 1 = 6 .
So, 115 1\frac{1}{5} is equivalent to 65 \frac{6}{5} .

Step 2: Multiply 4 4 by 65 \frac{6}{5} .

We perform the multiplication: 4×65=4×65=245 4 \times \frac{6}{5} = \frac{4 \times 6}{5} = \frac{24}{5} .

Step 3: Convert 245 \frac{24}{5} back to a mixed number.

Divide 24 by 5 to find how many whole parts there are:
24÷5=4 24 \div 5 = 4 with a remainder of 4.
Thus, 245 \frac{24}{5} can be expressed as 445 4\frac{4}{5} .

Therefore, the solution to the problem is 445 4\frac{4}{5} .

Answer

445 4\frac{4}{5}