**What Is 2/10 as a Decimal + Solution With Free Steps**

**The fraction 2/10 as a decimal is equal to 0.2.**

A **Fraction** is an expression that can be used to express the ratio of two integers in the form of p/q. The** Numerator** and **Denominator**, which are separated by a line, are the two elements of a fraction. These are present above and below the line, respectively.

Fractions are usually converted into equivalent **Decimal Numbers** because decimal numbers are easier to understand. For example, if we want to find a larger of two fractions with different numerators and denominators, it would be difficult. But we can do it easily by looking at their corresponding decimal values.

**Long Division** is the method that is mostly used to solve a fraction. In this method, large numbers are divided by splitting them into smaller groups.

Here, we will find the decimal value of **2/10** using the** Long Division** method.

**Solution**

The decimal value of a fraction is obtained by dividing its fractional components numerator and denominator. So we take a numerator as a **Dividend, **defined as the number we have to divide, and a denominator as a **Divisor, **a number that will divide the other.

The fraction of **2/10**, which we have to solve, is represented as:

**Dividend = 2**

**Divisor = 10 **

If the division is performed completely, we get our final result, which we call the **Quotient.**

**Quotient = Dividend $\div$ Divisor = 2 $\div$ 10**

In some cases, we cannot solve a fraction completely and we get some remaining quantity. This remaining quantity is called **Remainder**.

We will solve the fraction **2/10** here to find its quotient and remainder.

Figure 1

**2/10 Long Division Method**

The complete procedure to solve a fraction of **2/10** utilizing the method of **Long Division** is given below.

We have:

**2 $\div$ 10 **

Finding the greater number between the numerator and denominator is the first step in solving a fraction.

The solution requires a **Decimal Point **if the numerator is greater than the denominator. which we get by adding a zero to the dividend’s right. However, if the denominator is greater, we don’t need a decimal point.

In the fraction of **2/10**, the dividend **2** is smaller as compared to divisor 10. So, this is a **Proper Fraction** and we require a decimal point for the quotient. We get this by adding a zero to the right of **2** and making it **20**. This **20** can now be easily divided by **10**.

**20 $\div$ 10 $\approx$ 2**

Where:

** 10 x 2 = 20 **

Since **20** is a multiple of **10**, so we don’t get any remaining value.

** 20 – 20 = 0**

Thus, our fraction is solved completely and we get our final result i.e., **Quotient** equal to **0.2** without any remainder. This shows that we can divide **2** into **10** equal parts and the size or magnitude of each part will be equal to **0.2**.

*Images/mathematical drawings are created with GeoGebra.*