**What Is 9/20 as a Decimal + Solution With Free Steps**

**The fraction 9/20 as a decimal is equal to 0.45.**

**Fraction** is an expression to represent the ratio of two whole numbers as p/q. It denotes the proportion of p pieces to the total q pieces. A fraction consists of two components: the numerator and denominator, distinguished by a line between them.

**Numerator** P is a number above the line, while the **Denominator** q is a number below the line. The line between them represents the process of **Division**.

Thus, a fraction can be e solved by division to obtain its equivalent decimal number, which is considered to be a complex process.

An example is presented here, to solve a fraction of **9/20** by the **Long Division** method.

**Solution**

A fraction has to be converted into a division to get its solution. This can be done by separating its elements based on their functions.

Thus, the numerator, which has to be divided is represented as the** Dividend**, and the denominator, which is dividing the numerator, is described as the **Divisor**. In the given fraction of **9/20**, **9** is the dividend, and **20** is the divisor.

Mathematically, it can be written as:

**Dividend = 9**

** Divisor = 20**

The other two important division-specific terms, which are necessary to understand, are **Quotient **and **Remainder**. A quotient is defined as the final result obtained by the division of two numbers. On the other hand, the remainder is a left-over value due to incomplete or partial division.

**Quotient = Dividend $\div$ Divisor = 9 $\div$ 20**

Figure 1

**9/20 Long Division Method**

The complete solution of **9/20** using the **Long Division** method is shown below.

**9 $\div$ 20 **

To get the solution of a fraction, we must first determine the greater number among the numerator and the denominator. If the numerator is a bigger number than the denominator, a **Decimal Point **is needed for the solution. So, we place a zero to the dividend’s right and insert a decimal point in the final answer. In this case, after inserting a zero to the right of **9**, we get **90**.

Now, **90** has to be divided by **20**.

**90 $\div$ 20 $\approx$ 4**

Where:

**20 x 4 = 80 **

We get **10** as the remainder as shown below:

**90 – 80 = 10**

This non-zero value of the remainder indicates that we again have to insert a zero to its right. But this time, the decimal point is not required. By the insertion of zero, we get **100** to divide by **20**.

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

Where:

** 20 x 5 = 100 **

The remainder is given as:

**100 – 100 = 0**

Since **100** is a multiple of **20**, so we have a zero **Remainder**. This tells us that the divisor is a factor of dividend and the **Quotient** **0.45** is the decimal value of the fraction.

*Images/mathematical drawings are created with GeoGebra.*