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What Is 9/99 as a Decimal + Solution With Free Steps

The fraction 9/99 as a decimal is equal to 0.0909090909.

The fraction is represented in p/q form, where is referred to as a numerator, while is referred to as the denominator. Fractions are used to express a connection between two quantities one named as dividend and the other as the divisor. By using a mathematical operator called division, we can convert fractions to decimal values.

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 9/99.

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 = 9

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 = 9 $\div$ 99

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

9/99 Long Division Method

Figure 1

9/99 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 9 and 99, we can see how 9 is Smaller than 99, and to solve this division, we require that 9 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 9, which after getting multiplied by 10 becomes 90.

Still, the dividend is less than the divisor, so we will multiply it by 10 again. For that, we have to add the zero in the quotient. So, by multiplying the dividend by 10 twice in the same step and by adding zero after the decimal point in the quotient, we now have a dividend of 900.

 900 $\div$ 99 $\approx$ 9

Where:

99 x 9 = 891

This will lead to the generation of a Remainder equal to 900 – 891 = 9. Now this means we have to repeat the process by Converting the 9 into 90 and solving for that:

Still, the dividend is less than the divisor, so we will multiply it by 10 again. For that, we have to add the zero in the quotient. So, by multiplying the dividend by 10 twice in the same step and by adding zero after the decimal point in the quotient, we now have a dividend of 900.

 900 $\div$ 99 $\approx$ 9

Where:

99 x 9 = 891

Finally, we have a Quotient generated after combining the of it as 0.0909=z, with a Remainder equal to 9.Pie Chart 9 by 99 Long Division Method

Images/mathematical drawings are created with GeoGebra.

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