**What Is 3/7 as a Decimal + Solution With Free Steps**

**The fraction 3/7 as a decimal is equal to 0.428.**

An expression in mathematics that demonstrates how many parts a number can be divided into is known as a **Fraction**. Its constituents include a numerator and a denominator separated by a line. The **Numerator** is the number present above the line, whereas the **Denominator** is a number below the line.

Here, we will explain the **Long Division** method to solve a fraction.

**Solution**

To solve a fraction, we have to start by transforming it into division. Since components of the division include **Dividend** and **Divisor**, so the numerator of the fraction becomes dividend and the denominator becomes divisor. In the example to solve, we get **3** as a dividend and **7** as a divisor. This can be mathematically represented as:

**Dividend = 3**

**Divisor = 7**

Fraction of **3/7** means the division of **3** into **7** equal parts. When solving this fraction we get the magnitude of **1** part as the **Quotient**, which is known as the final result of division. However, if a fraction is not fully divided, we get some quantity left behind. This is known as** Remainder**.

**Quotient = Dividend $\div$ Divisor = 3 $\div$7**

The given fraction of **3/7** is solved using **Long Division** and the solution is presented below:

Figure 1

**3/7 Long Division Method**

Below is a step-by-step explanation to solve the given fraction. We have:

**3 $\div$ 7Â **

While solving a division sum or fraction, the first step is to find, whether it is a **Proper** or an **Improper Fraction**. In the given fraction, we have **3** as a dividend, which is smaller than **7**, the divisor. So this is a proper fraction. Hence, we have a requirement of a **Decimal Point** to complete our calculations. We can do this by adding a zero to the right of our dividend. By doing this, we get **30**, which will now be divided by **7**.

**30 $\div$ 7 $\approx$ 4**

Where:

**Â 7 x 4 = 28**Â

The remainder is 30 â€“ 28 = 2, which is greater than zero. So, we again add a zero to its right but without any decimal point and make it **20**. Further calculations are presented as:

**20 $\div$ 7 $\approx$ 2**

Where:

**7 x 2 = 14**

This time the remainder is 20 â€“ 14 = 6. Again 6 is smaller than **7**, so we make it **60** by inserting a zero to its right. Now, **60** is divided by **7**.

**60 $\div$ 7 $\approx$ 8**

Where:

**7 x 8 = 56Â **

Now, the remainder is:

**60 â€“ 56 = 4**

Again, there is a non-zero remainder produced. This shows that the fraction is partially divided and we get a **Quotient** of **0.428** with a **Remainder** equal to **4**. We solve it up to more decimal places to get a more accurate answer.

*Images/mathematical drawings are created with GeoGebra.*