 # What Is 17/20 as a Decimal + Solution With Free Steps

The fraction 17/20 as a decimal is equal to 0.85.

The term Fraction refers to a mathematical expression that tells us how many equal portions combine to make up a given object.

It has a unique representation in which its two components numerator and denominator are divided by a line. The component appearing above the line is known as the Numerator, while that appearing below the line is known as the Denominator.

For example, in the given fraction of 17/20, 17 is the numerator and 20 is the denominator.

Such fractions can be solved easily by the method of Long Division, which is explained below in detail.

## Solution

We usually solve fractions by division, which has two components, the dividend, and the divisor. The number which we have to divide is known as a Dividend, while the number that is dividing is known as Divisor. It tells us how many pieces we have to divide the dividend.

The mathematical representation of the given fraction is:

Dividend = 17

Divisor = 20

It means that we want to divide 17 into 20 equal parts. We get the magnitude of 1 part in the result, termed the Quotient.

Quotient = Dividend $\div$ Divisor = 17 $\div$ 20

Sometimes we are unable to fully divide a fraction and some quantity is left behind. This left-over quantity is known as Remainder.

The Long Division approach is usually used to solve a fraction. Its complete steps are shown below. Figure 1

## 17/20 Long Division Method

The fraction given to solve is:

17 $\div$ 20

In a fraction, if the divisor or denominator is of greater numerical value than the numerator or dividend, it is known as a Proper Fraction. Such fraction has less than 1 decimal value. To solve such a fraction, we have to introduce a Decimal Point in our final result, which is the quotient. We can do this by multiplying the dividend by 10.

As we know, our example 17/20 is a proper fraction. Because 20 is a bigger number as compared to 17, to calculate our result, we multiply 17 by 10 and introduce a decimal point in our quotient. Now, 170 is divided by 20 as:

170 $\div$ 20 $\approx$ 8\]

Where:

20 x 8 = 160

When we subtract 160 from 170, we get a remainder of 10 as shown below:

170 – 160 = 10

Since we get a non-zero remainder, so to calculate the accurate value of the quotient, we multiply it by 10 and get 100 to be divided by 20.

100 $\div$ 20 $\approx$ 5

Where:

20 x 5 = 100

The remainder is determined as:

100 – 100 = 0

So we have a zero Remainder now. This illustrates that the fraction is fully solved 0.85 is the Decimal Value of 17/20. Also, it shows that 20 and 0.85 are factors of 17.

Images/mathematical drawings are created with GeoGebra.

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