What Is 89/100 as a Decimal + Solution With Free Steps
The fraction 89/100 as a decimal is equal to 0.89.
Fraction involves Division, and division is one of the difficult operations. We convert fractions to Decimal values to make them more useful in mathematical problems and also because decimal values are easier 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 89/100.
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 seen done as follows:
Dividend = 89
Divisor = 100
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 = 89 $\div$ 100
This is when we go through the Long Division solution to our problem.
89/100 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 89 and 100, we can see how 89 is Smaller than 100, and to solve this division, we require that 89 be Bigger than 100.
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 89, which after getting multiplied by 10 becomes 890.
We take this 890 and divide it by 100; this can be seen done as follows:
890 $\div$ 100 $\approx$ 8
Where:
100 x 8 = 800
This will lead to the generation of a Remainder equal to 890 – 800 = 90. Now this means we have to repeat the process by Converting the 90 into 900 and solving for that:
900 $\div$ 100 = 9
Where:
100 x 90 = 900
Finally, we have a Quotient generated after combining the two pieces of it as 0.89 = z, with a Remainder equal to 0.
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