What Is 80/89 as a Decimal + Solution With Free Steps
The fraction 80/89 as a decimal is equal to 0.898.
The decimal form can easily be obtained from its equivalent fractional form by performing the long division. This method helps to break down the problem into simpler and easy steps. We apply long division to obtain the decimal form because it is easy to understand.
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 80/89.
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 = 80
Divisor = 89
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 = 80 $\div$ 89
This is when we go through the Long Division solution to our problem. The solution for fraction 80/89 represents in the figure below.
80/89 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 80 and 89, we can see how 80 is Smaller than 89, and to solve this division, we require that 80 be Bigger than 89.
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 80, which after getting multiplied by 10 becomes 800.
We take this 800 and divide it by 89; this can be done as follows:
800 $\div$ 89 $\approx$ 8
89 x 8 = 712
This will lead to the generation of a Remainder equal to 800 – 712 = 88. Now this means we have to repeat the process by Converting the 88 into 880 and solving for that:
880 $\div$ 89 $\approx$ 9
89 x 9 = 801
This, therefore, produces another Remainder which is equal to 880 – 801 = 79. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 790.
790 $\div$ 89 $\approx$ 8
89 x 8 = 712
Finally, we have a Quotient generated after combining the three pieces of it as 0.898, with a Remainder equal to 78.
Images/mathematical drawings are created with GeoGebra.