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What Is 80/99 as a Decimal + Solution With Free Steps

The fraction 80/99 as a decimal is equal to 0.808.

Rational numbers are numbers that can be expressed in the form of ratios. It is a fraction in which the numerator and denominator are polynomials and represent real numbers. We get Terminating and Recurring decimals when we divide a rational fraction. 

80 99 As A Decimal

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 80/99.

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 = 80

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 = 80 $\div$ 99

This is when we go through the Long Division solution to our problem.

80/99 Long Division Method

            Figure 1

80/99 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 80 and 99, we can see how 80 is Smaller than 99, and to solve this division, we require that 80 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 80, which after getting multiplied by 10 becomes 800.

We take this 800 and divide it by 99; this can be done as follows:

 800 $\div$ 99 $\approx$ 8

Where:

99 x 8 = 792

This will lead to the generation of a Remainder equal to 800 – 7 92= 8. Now this means we have to repeat the process by Converting the 8 into 800 and solving for that:

800 $\div$ 99 $\approx$ 8

Where:

99x 8 = 792

This, therefore, produces another Remainder which is equal to 800 – 792 = 8.

Finally, we have a Quotient generated after combining the three pieces of it as 0.808=z, with a Remainder equal to 8.Pie Chart 80 by 99 Long Division Method

Images/mathematical drawings are created with GeoGebra.

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