What Is 85/99 as a Decimal + Solution With Free Steps
The fraction 85/99 as a decimal is equal to 0.858.
Decimals are numbers that have two parts separated by a decimal point. The first represents a whole thing and the second part after the decimal point is its respective fraction. The decimal numbers can be converted to their fraction form and vice versa.
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 85/99.
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 = 85
Divisor = 99
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 = 85 $\div$ 99
This is when we go through the Long Division solution to our problem. The result is shown in the following figure.
Figure 1
85/99 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 85 and 99, we can see how 85 is Smaller than 99, and to solve this division, we require that 85 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 85, which after getting multiplied by 10 becomes 85.
We take this 850 and divide it by 99; this can be done as follows:
850 $\div$ 99 $\approx$ 8
Where:
99 x 8 = 792
This will lead to the generation of a Remainder equal to 850 – 792 = 58. Now this means we have to repeat the process by Converting the 58 into 580 and solving for that:
580 $\div$ 99 $\approx$ 495
Where:
99 x 5 = 495
This, therefore, produces another Remainder which is equal to 580 – 495 = 85. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 850.
850 $\div$ 99 $\approx$ 8
Where:
99 x 8 = 792
Finally, we have a Quotient generated after combining the three pieces of it as 0.858, with a Remainder equal to 58.
Images/mathematical drawings are created with GeoGebra.