**What Is 7/9 as a Decimal + Solution With Free Steps**

**The fraction 7/9 as a decimal is equal to 0.777.**

In mathematics, we employ a **Division** operation to split a number into equal parts. Division frequently appears to be more challenging than other mathematical processes. However, there is a way to simplify this extremely complex process. **Long Division** is the method employed here to solve the given fraction.

The mathematical operation of dividing large numbers into smaller and more manageable units or groups is known as **Long Division**. It helps to simplify complex and difficult problems.

Here, we will simplify the fraction** 7/9** by the **Long Division** method and will find its equivalent decimal number.

**Solution**

Separating a division problem into its constituent parts according to each one’s functionality is the first and most significant step in solving the problem. The **Dividend** is the number that is divided, and **Divisor** is the number that is used to divide the dividend. The following problem has a dividend equal to **7** but a divisor equal to **9**.

In the presented problem, we have:

**Dividend = 7**

**Divisor = 9**

**Quotient** and **Remainder** are the other two important terms associated with division. A fraction can be divided completely to produce a quotient, which is the result of the division. But a partial division produces a remainder, which expresses the value that remains after an incomplete division.

**Quotient = Dividend $\div$ Divisor = 7 $\div$ 9**

Here, the decimal value of **7/9** is determined by using the **Long Division** method.

Figure 1

**7/9 Long Division Method**

The detailed steps to simplify the given fraction are shown below.

We possess:

** 7 $\div$ 9 **

It can be seen that the dividend is a smaller number than the divisor. So, to solve the supplied fraction, we need a **Decimal Point**. If we place a zero to the right of the remainder, this is possible. As a result, we receive **70**, which must now be divided by **9**. Below is a description of the division’s steps:

**70 $\div$ 9 $\approx$ 7**

Where:

** 9 x 7 = 63 **

A Remainder is produced and is given as:

**70 – 63 = 7**

As we get a non-zero remainder, we once again add a zero to the right of the remainder, but this time without the insertion of a decimal point. So, the remainder of **7** becomes **70** again and we have to divide it by **9**.

**70 $\div$ 9 $\approx$ 7**

Where:

** 9 x 7 = 63 **

To calculate the remainder, we proceed as follows:

**70 – 63 = 7**

We observe that both the **Remainder** and **Quotient** are the same as that obtained in the previous step. This illustrates that a given fraction is a non-terminating and recurring fraction. Thus, we don’t need to calculate further, and our final answer is **0.777** with a remainder of **7**.

]*Images/mathematical drawings are created with GeoGebra.*