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What Is 50/99 as a Decimal + Solution With Free Steps

The fraction 50/99 as a decimal is equal to 0.505.

A fraction is converted into decimal notation by using the division method. Decimals can be classified into different categories depending upon what type of digits occur after the decimal point. The fraction 50/99 is a recurring decimal 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 50/99.

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 = 50

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 = 50 $\div$ 99

This is when we go through the Long Division solution to our problem. The following figure shows the solution for fraction 50/99.

50/99 Long Division Method

Figure 1

50/99 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 50 and 99, we can see how 50 is Smaller than 99, and to solve this division, we require that 50 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 50, which after getting multiplied by 10 becomes 500.

We take this 500 and divide it by 99; this can be done as follows:

 500 $\div$ 99 $\approx$ 5

Where:

99 x 5 = 495

This will lead to the generation of a Remainder equal to 500 – 495 = 5. After multiplying  5 by 10, we get 50 which is smaller than 99. That means division is not possible. So to make it bigger than 99, the 50 is again multiplied by 10 which gives us 500.

This is done by putting a zero in the quotient after the decimal point.

500 $\div$ 99 $\approx$ 5

Where:

99 x 5 = 495

Finally, we have a Quotient generated after combining the three pieces of it as 0.505, with a Remainder equal to 5.Pie Chart 50 by 99 Long Division Method

Images/mathematical drawings are created with GeoGebra.

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