**What Is 3 1/5 as a Decimal + Solution With Free Steps**

**The fraction 3 1/5 as a decimal is equal to 3.2.**

**Fraction** is a very important concept of mathematics. It helps us to determine how many equal portions may combine to make a whole object. Its important types include proper fractions, improper fractions, and mixed fractions.

When a fraction’s denominator is greater than its numerator, it is termed a **Proper Fraction**, but when a fraction has a greater numerator, it is referred to as an **Improper Fraction**. In many cases, a fraction is formed by combining a whole number and a proper fraction, such a fraction is known as **Mixed Fraction**.

A fraction is simplified to get its decimal number, which has a decimal point separating a fractional part and a whole number part. For example, **3.2** where **2** is the fractional part and **3** is the whole number part.

In this question, we will get a decimal value of **3 1/5** by the **Long Division** method.

**Solution**

We solve a mixed fraction by first converting it into an **Improper Fraction**. For this, we do the multiplication of denominator **5** with **3 **and then add this product **15** to the numerator **1**.

As a result, we get **16**, which is the numerator of the desired improper fraction. However, its denominator is also **5**. Hence, we get a fraction of **16/5** to solve.

We can see that in **16/5,** **16** is **Dividend**, and **5** is **Divisor**.

**Dividend = 16**

**Divisor = 5**

The decimal number obtained as a result of the division of the numerator by the denominator of the fraction is known as **Quotient**.

**Quotient = Dividend $\div$ Divisor = 16 $\div$ 5**

There are some situations when division cannot be completed, and we are left with a quantity known as the** Remainder**.

The conversion of 3 1/5 into its decimal value is shown below.

Figure 1

**3 1/5 Long Division Method**

The fraction we are supposed to solve is:

**16 $\div$ 5**

To divide a fraction, a **Decimal Point** is to be added whenever the dividend is less than the divider. But if we have a divisor or divider less than the dividend, we don’t need any decimal point. In the fraction of **16/5**, **16** is a bigger number so we will divide it directly without any decimal point.

**16 $\div$ 5 $\approx$ 3**

Where:

** 5 x 3 = 15 **

The left-over value or remainder is found to be:

**16 – 15 =1**

This remainder 1 is less than the divider and it indicates that now we need a decimal point for further calculations. We get this decimal point if we multiply our remainder by **10**.

After this multiplication, we get 10 to divide by **5**.

**10 $\div$ 5 $\approx$ 2**

Where:

**5 x 2 = 10**

The remainder 10 – 10 = 0 shows that **3 1/5** is a **Terminating and Non-recurring** fraction and has a **Quotient** equal to **3.2**.

*Images/mathematical drawings are created with GeoGebra.*