**What Is 2 3/5 as a Decimal + Solution With Free Steps**

**The fraction 2 3/5 as a decimal is equal to 2.6.**

**Decimal values** are more useful in mathematical problems and are simpler to understand as fractions are transformed into decimal values. In most cases, the fraction is expressed in **p/q **form, where **p** stands for the **Numerator** and **q** for the **Denominator**.

Fractions fall into one of three categories: improper fraction, proper fraction, or mixed fraction. When the numerator of a fraction exceeds the denominator, the fraction is said to be an **Improper fraction**.

However, when the fraction’s numerator is smaller than the denominator, the fraction is said to be a proper** fraction**. A **Mixed fraction** has both an incorrect fraction and a whole number.

Dividing fractions into decimal numbers is done using the **Division** operation, one of the trickiest mathematical operations. However, we can simplify it by employing a method known as **Long Division**. It is a technique for converting fractions to decimal equivalents. Therefore, we are using the **long division** method to resolve our mixed fraction of **2 3/5**.

**Solution**

We must first change the given mixed fraction into **p/q** form before moving on to a solution. For that, we’ll add the numerator after multiplying the denominator by the whole number. This will result in the fraction’s p while the denominator remains the same. As a result, we now have a fraction of **13/5**.

The terms “**Dividend**” and “**Divisor**” are used for the numerator and denominator in the **long division** method. Therefore, the dividend and the divisors for the fraction are:

**Dividend = 13**

**Divisor = 5**

The solution of the fraction is referred to as the **Quotient**. It is the result of a fraction in decimal form.

**Quotient = Dividend $ \div $ Divisor = 13 $ \div $ 5**

A fraction can be solved by using the **long division** method as follows:

Figure 1

**13/5 Long Division Method**

The fraction to be solved by the **long division** method is:

**13 $ \div $ 5**

If the dividend is greater than the divisor, we can divide the numbers directly. Here we have a case where dividend 13 is greater than the divisor, so we can directly divide both numbers, resulting in a quotient greater than one.

The number left when two numbers are not entirely divisible by one another is referred to as the “**Remainder**.”

**13 $ \div $ 5 $ \approx $ 2**

Where:

** 5 x 2 = 10**

After the initial step, the **remainder** value is **13 – 10 = 3**. To move on, we will add **zero** to the **remainder’s right** side, changing it to **30**. To account for this, we will add a **decimal point** to the **quotient**.

**30 $ \div $ 5 = 6**

Where:

** 5 x 6 = 30**

So we have a **Quotient** of **2.6** with **Remainder = 0 **for the given mixed fraction of **2 3/5**.

*Images/mathematical drawings are created with GeoGebra.*