**What Is 4/3 as a Decimal + Solution With Free Steps**

**The fraction 4/3 as a decimal is equal to 1.33.**

The ratio of two whole numbers represented as p/q is known as a **Fraction**. The p component is referred to as the **Numerator** and the q component as the **Denominator**, while p/q stands for p number of pieces out of total q pieces.

The numerator and denominator are two components of a fraction that are distinguished by a line between them. The number placed above the line is known as the **Numerator**, whereas the number placed below the line is the **Denominator**. Fractions can easily be solved using **Division** to find their equivalent decimal value.

Here, the decimal equivalent of **4/3** will be computed using the **Long Division** method.

**Solution**

To solve a fraction, we have to transform it into a division by separating its components according to the nature of their functions. The numerator is referred to as the **Dividend** and is divided by the denominator, also known as the **Divisor**. In the given example, we have **4** and **3** as dividend and divisor, respectively.

Mathematically, we can state that:

**Dividend = 4**

**Divisor = 3**

Two more terms are important to understand the process of division. These are quotient and remainder. The **Quotient** is the equivalent value of a fraction that we get as a result of division. However, if a fraction undergoes partial division, the remaining term is known as **Remainder**.

**Quotient = Dividend $\div$ Divisor = 4 $\div$ 3**

Figure 1

**4/3 Long Division Method**

The solution of **4/3** using **Long Division** is shown below:

**4 $\div$ 3 **

To get the solution of a fraction, first, we see which is greater among the numerator and denominator. If the denominator is greater, then we must introduce a **Decimal point**. However, if the numerator is greater, we can proceed without it.

In the above fraction, **4** is greater than **3**, so we will divide **4** by **3.**

**4 $\div$ 3 $\approx$ 1**

Where:

**3 x 1 = 3 **

The remainder is computed by subtracting the two quantities as:

**4 – 3 = 1**

As we have obtained a non-zero remainder, which is less than the divisor, so now we have to use a decimal Point. Adding a zero to the right of the remainder inserts a decimal point in the quotient and the remainder becomes **10**, which is to be divided by **3**.

**10 $\div$ 3 $\approx$ 3**

Where:

**3 x 3 = 9**

The remainder is given as:

**10 – 9 = 1**

We get **1** as a remainder again, so we insert a zero to its right again and make it **10**. But this time, we don’t insert any decimal point in the quotient, because it already contains one. **10** is again to be divided by **3**. Therefore, mathematical calculations are the same as that in the previous step.

Finally, we have a **Remainder** of **1** and a **Quotient **of **1.33**. It shows that** 4/3** is a non-terminating fraction.

*Images/mathematical drawings are created with GeoGebra.*