**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 **

**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**

**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 **

**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**

**160**from

**170**, we get a remainder of

**10**as shown below:

**170 – 160 = 10**

**10**and get

**100**to be divided by

**20**.

**100 $\div$ 20 $\approx$ 5**

**20 x 5 = 100 **

**100 – 100 = 0**

**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.*