The fraction 5/12 as a decimal is equal to 0.416.
A mathematical expression that tells the number of equal parts into which an object can be divided is known as a Fraction. There are two elements of a fraction that are separated by a slash or line. These are Numerator and Denominator, present above and below the slash, respectively.
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Usually, fractions are solved by dividing the numerator with the denominator to get its equivalent decimal. In the fraction of 5/12, 12 is a denominator while 5 is a numerator.
Here, we will demonstrate the method of Long Division to simplify a fraction.
Solution
To get the solution of a fraction, we begin by converting it into division. By doing so, the numerator of the fraction that is present above the slash becomes a Dividend, and the denominator present below the slash becomes a Divisor. Therefore, in this example, we get a dividend of 5 and a divisor of 12.
Dividend = 5
Divisor =12
Fraction 5/12 means to divide the number 5 into 12 equal parts and in the results, we get a numerical value of 1 part, also known as the Quotient. In some cases, fractions are not solved completely and we have a left-over value known as Remainder.
Quotient = Dividend $div$ Divisor = 5 $div$ 12
Now, let us solve a fraction of 5/12 as an example.
Figure 1
5/12 Long Division Method
An explanation of the Long Division method to solve a fraction is given below.
The fraction given to solve is:
5 $div$ 12
We know that 5/12 is a Proper Fraction because 5 is less than 12. In a proper fraction, we must introduce a Decimal Point, which can be done by adding a zero to the right of the dividend. The dividend in our case is 5. By inserting a zero to its right we get 50. This 50 can now be divided by 12 as:
50 $div$ 12 $approx$ 4
Where:
12 x 4 = 48
As remainder 50 – 48 = 2 is a non-zero value, so we again put a zero to the right of the remainder i.e., 2, and make it 20. But here we don’t need another decimal point.
20 $div$ 12 $approx$ 1
Where:
12 x 1 = 12
Now, the remaining value is 8 as shown below:
20 – 12 = 8
When we plug in a zero to right of 8, it becomes 80, which can be divided by 12 as:
80 $div$ 12 $approx$ 6
Where:
12 x 2 = 72
This time, the Remainder 80 – 72 = 8 is the same as that obtained in the last step. This shows that it is a non-terminating and recurring fraction with a repeating decimal number. Thus, the Quotient of the given fraction is 0.416 and the remaining value is 8.
Images/mathematical drawings are created with GeoGebra.
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