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What Is 17/100 as a Decimal + Solution With Free Steps

The fraction 17/100 as a decimal is equal to 0.17.

Decimals are those numbers that have two values separated by a dot. The value on the left side of the dot is a whole part and the value on the right side is its respective smaller portion. 

Here, we are interested more in the types of division that results 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 17/100.

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 seen done as follows:

Dividend = 17

Divisor = 100

Now, we introduce the most important quantity in our process of division, this is 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 = 17 $\div$ 100

This is when we go through the Long Division solution to our problem. See the solution of fraction 17/100 in the following figure.

As a decimal

Figure 1

17/100 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 17, and 100 we can see how 17 is Smaller than 100, and to solve this division we require that 17 be Bigger than 100.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. If it is then we calculate the Multiple of the divisor which is 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 17, which after getting multiplied by 10 becomes 170.

We take this 170 and divide it by 100, this can be seen done as follows:

 170 $\div$ 100 $\approx$ 1

Where:

100 x 1 = 100

This will lead to the generation of a Remainder equal to 170 – 100 = 70, now this means we have to repeat the process by Converting the 70 into 700 and solving for that:

700 $\div$ 100 = 7

Where:

100 x 7 = 700

At this point, we get the zero remainder, so no more division is required.

Finally, we have a Quotient generated after combining the two pieces of it as 0.17, with a Remainder equal to 0.

Images/mathematical drawings are created with GeoGebra.

Fractions to Decimals List

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