What Is 5/99 as a Decimal + Solution With Free Steps
The fraction 5/99 as a decimal is equal to 0.050.
A mathematical operation that permits you to solve complex and complicated problems related to division is called Long division. Moreover, long division is a method that is used to break large numbers into manageable steps, thus, making a complex division much easy.
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 5/99.
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 = 5
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 = 5 $\div$ 99
This is when we go through the Long Division solution to our problem.
Figure 1
5/99 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 5 and 99, we can see how 5 is Smaller than 99, and to solve this division, we require that 5 be Bigger than 99.
This is done by multiplying the dividend by 100 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 5, which after getting multiplied by 100 becomes 500
We take this 500 and divide it by 99; this can be done as follows:
500 $\div$ 99 $\approx$ 5
Where:
99x 5 = 495
This will lead to the generation of a Remainder equal to 500 – 495 = 5. Now this means we have to repeat the process by Converting the 5 into 50 and solving for that. We notice 50 is still smaller than 99. By adding 0, it becomes 500, and we find z=0.050 with a remainder equal to 500
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