What Is 47/99 as a Decimal + Solution With Free Steps
The fraction 47/99 as a decimal is equal to 0.474.
Fractions are most commonly used in our daily life. For example, it can be used to represent discount percentages on shops, ingredients of a food recipe, or obtained marks in exams.
Fractions can also be converted to their decimal form by simply dividing their numerator by the denominator.
Here, we are more interested in the division types that result in a Decimal value, as this can be expressed as a Fraction. We see fractions as a way of showing two numbers having the operation of Division between them that result in a value that lies between two Integers.
Now, we introduce the method used to solve said fraction to decimal conversion, called Long Division, which we will discuss in detail moving forward. So, let’s go through the Solution of fraction 47/99.
Solution
First, we convert the fraction components, i.e., the numerator and the denominator, and transform them into the division constituents, i.e., the Dividend and the Divisor, respectively.
This can be done as follows:
Dividend = 47
Divisor = 99
Now, we introduce the most important quantity in our division process: the Quotient. The value represents the Solution to our division and can be expressed as having the following relationship with the Division constituents:
Quotient = Dividend $\div$ Divisor = 47 $\div$ 99
This is when we go through the Long Division solution to our problem. Figure 1 shows the solution for fraction 47/99.
Figure 1
47/99 Long Division Method
We start solving a problem using the Long Division Method by first taking apart the division’s components and comparing them. As we have 47 and 99, we can see how 47 is Smaller than 99, and to solve this division, we require that 47 be Bigger than 99.
This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. If so, we calculate the Multiple of the divisor closest to the dividend and subtract it from the Dividend. This produces the Remainder, which we then use as the dividend later.
Now, we begin solving for our dividend 47, which after getting multiplied by 10 becomes 470.
We take this 470 and divide it by 99; this can be done as follows:
470 $\div$ 99 $\approx$ 4
Where:
99 x 4 = 396
This will lead to the generation of a Remainder equal to 470 – 396 = 74. Now this means we have to repeat the process by Converting the 74 into 740 and solving for that:
740 $\div$ 99 $\approx$ 7
Where:
99 x 7 = 693
This, therefore, produces another Remainder equal to 740 – 693 = 47. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 470.
470 $\div$ 99 $\approx$ 4
Where:
99 x 4 = 396
Finally, we have a Quotient generated after combining the three pieces of it as 0.474, with a Remainder equal to 74.
Images/mathematical drawings are created with GeoGebra.