**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.*