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What Is 1/98 as a Decimal + Solution With Free Steps

The fraction 1/98 as a decimal is equal to 0.010.

The mathematical operation of division produces either an integer or decimal value as its result. An integer result is produced when the dividend is both greater than and a multiple of the divisor. If either of these is not the case, it produces a decimal result.

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 1/98.

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 = 1

Divisor = 98

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 = 1 $\div$ 98

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

1/98 Long Division Method

Figure 1

1/98 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 1 and 98, we can see how 1 is Smaller than 98, and to solve this division, we require that 1 be Bigger than 98.

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.

In our case, however, multiplying 1 by 10 gets us 10, which is still smaller than 98. Therefore, we multiply again by 10 to get 10 x 10 = 100, which is now larger than 98. To indicate this second multiplication by 10, we add a 0 directly after the decimal point in the quotient.

Now, we begin solving for our dividend 1, which after getting multiplied by 10 becomes 100.

We take this 100 and divide it by 98; this can be done as follows:

 100 $\div$ 98 $\approx$ 1

Where:

98 x 1 = 98

This will lead to the generation of a Remainder equal to 100 – 98 = 2. Now this means we have to repeat the process by Converting the 2 into 20 and solving for that:

20 $\div$ 98 $\approx$ 0 

Where we multiply by 0 since 20 is smaller than 98:

98 x 0 = 0

Finally, we have a Quotient generated after combining the three pieces of it as 0.010, with a Remainder equal to 20.

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