# What Is 2 1/2 as a Decimal + Solution With Free Steps

**The fraction 2 1/2 as a decimal is equal to 2.5.**

The ratio of two whole numbers termed as **Numerator** and **Denominator** is called **Fraction**. Three main types of fractions include proper fractions, improper fractions, and mixed fractions.

A fraction with a greater denominator than a numerator is known as a **Proper Fraction**, while a fraction with a greater numerator is called an **Improper Fraction**. However, if a whole number and an improper fraction are combined, we get a **Mixed Fraction**.

Fractions are usually converted into decimal numbers because they can be easily understood. A number that has a dot separating the fractional part from the whole number part is said to be a **Decimal Number** and this dot is known as **Decimal Point**.

In the example, we have to convert a mixed fraction of **2 1/2** into its decimal value by the method of **Long Division**.

## Solution

While converting a mixed fraction into its decimal number, we have to first convert it into an improper fraction. In a given fraction **2 1/2**, we multiply denominator **2** with the whole number **2 **and add the resultant to numerator **1.** The result of these arithmetic operations is the numerator of Improper fraction. While the denominator remains the same. Thus, **2 1/2** is equal to **5/2**.

Now to solve this fraction, it is converted into division and we get 5 as a **Devisor**, the number to be divided, and 2 as a divider, which is termed a **Divisor**.

**Dividend = 5**

**Divisor = 2**

When we divide this fraction, we get our final result known as **Quotient**.

**Quotient = Dividend $\div$ Divisor = 5 $\div$ 2**

In some cases, division cannot be performed completely and we are left with some quantity, which is known as **Remainder**.

Solution of **2 1/2** by **Long Division** is given here in detail.

Figure 1

## 2 1/2 Long Division Method

We want to solve:

**5 $\div$ 2 **

Whenever we have a dividend smaller than the divisor, we need a **Decimal Point** that we obtain by multiplying our dividend by **10**. But if the divisor is smaller, we don’t need any decimal points. Thus, the fraction of 5/2 is divided as:

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

Where:

**2 x 2 = 4 **

The remainder is calculated by subtracting 4 from 5.

**5 – 4 =1**

Since the value of the remainder is less than the divisor, so now we cannot proceed further without a decimal point. Thus,** 1** is multiplied by **10** and a decimal point is inserted in the quotient. Now, we have to divide **10** by **2**.

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

Where:

** 2 x 5 = 10**

This time we get zero remainders.

**10 – 10 =0**

So, we conclude that fraction **2 1/2** can be solved completely and the value of the quotient is **2** with zero remainders.

*Images/mathematical drawings are created with GeoGebra.*