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What Is 8/99 as a Decimal + Solution With Free Steps

The fraction 8/99 as a decimal is equal to 0.0808.

There can be two general types of fractions. In a simple fraction, the numerator and denominator both are integers. Whereas in complex fractions there is at least one fraction whether in numerator or denominator or in both. The fraction 8/99 is a simple fraction.

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 8/99.

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 = 8

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 = 8 $\div$ 99

This is when we go through the Long Division solution to our problem. The solution is given in figure 1.

8/99 Long Division Method

Figure 1

8/99 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 8 and 99, we can see how 8 is Smaller than 99, and to solve this division, we require that 8 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.

Since the dividend is smaller than the divisor, we multiply it by 10 and get 80 as a result. The dividend 80 is still smaller which means the division is not possible. Therefore 80 is again multiplied by 10 and this time we get 800 as a result. For this, an extra zero is added to the quotient just after the decimal point.

Now division is possible and we begin solving for our dividend 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 – 792 = 8. Now the dividend after being multiplied by 10 becomes 80 and again it is smaller than the divisor. So we multiply it again by 10 to make it 800 and put an extra zero in the quotient at third place.

Again solving for the dividend 800.

800 $\div$ 99 $\approx$ 8 

Where:

99 x 8 = 792

Finally, we have a Quotient generated after combining the four pieces of it as 0.0808, with a Remainder equal to 8.

Images/mathematical drawings are created with GeoGebra.

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