What Is 3/11 as a Decimal + Solution With Free Steps
The fraction 3/11 as a decimal is equal to 0.272.
The process of separating apart or breaking anything up into parts is referred to as division. It is a fundamental mathematical concept. Division appears to be the most difficult of all mathematical operations. However, there is a method for dealing with this difficult problem that simplifies it significantly.
Thus, a method for converting Fractions into their corresponding decimal numbers when they cannot be simplified is the Long Division method. A Fraction is a very unique technique to describe a mathematical operation; it is similar to using a dot to indicate the result of a multiplication.
Let’s look more closely at the solution to our fraction 3/11.
Solution
To continue, we define the Fraction’s components based on how they operate. The numerator of a fraction is known as the Dividend.
Whereas the denominator is known as the Divisor. The dividend is divided by this number. In this case, the Dividend is 3 and the Divisor is 11. It generates the following result:
Dividend = 3
Divisor = 11
Next, we rearrange this fraction to make it more illustrative and introduce the terms Quotient and Remainder. The Quotient is the result of a division, whereas the Remainder is the value received after an incomplete division.
Quotient = Dividend $\div$ Divisor = 3 $\div$ 11
Figure 1
3/11 Long Division Method
The following is the question:
3 $\div$ 11
So, before proceeding with the Long Division, we must first determine whether the first digit of the Dividend is greater or smaller than Divisor. Because dividend 3 has a single digit and is smaller than divisor 11, we cannot divide this fraction without using a decimal point.
We can get a decimal point by adding a zero to the right of the dividend 3 and get 30. Now, as indicated below, divide 30 by 11.
30 $\div$ 11 $\approx$ 2
Where:
11 x 2 = 22
We observe that this division gives a Remainder, which is equal to 30 – 22 = 8.
We should now add another zero to the right of the remainder, but this time without a decimal point, because Quotient already has one. Following this procedure, we have 80, which must be divided by 11.
After adding a zero to the right, the resulting value of the remainder, 8 becomes 80.
The following step can now be calculated:
80 $\div$ 11 $\approx$ 7
Where:
11 x 7 = 77
As a result of this division, we have remainder 3.
80 – 77 = 3
Again, we should add zero to the right side of the remainder of 3 so it will become 30. Further division leads to:
30 $\div$ 11 $\approx$ 2
Where:
11 x 2 = 22
We again have the remainder 8.
30 – 22 = 8
After doing three iterations, we are left with remainder 8 and quotient 0.272 that are repeating themselves infinitely.
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