**7 Repeating as a Fraction**

Have you ever wondered what 7 repeating as a fraction looks like? In this article, we'll explore the concept of repeating decimals and how to convert them into fractions.

**What is a Repeating Decimal?**

A repeating decimal is a decimal that has a sequence of digits that repeats indefinitely. For example, 0.12341234... is a repeating decimal because the sequence "1234" repeats indefinitely.

**Converting 7 Repeating to a Fraction**

To convert 7 repeating to a fraction, we need to identify the repeating pattern. In this case, the repeating pattern is simply "7". Let's call this repeating pattern "x".

**Equation**

We can set up an equation to represent the situation:

x = 0.7777... (where x is the repeating pattern)

**Multiplying Both Sides by 10**

To get rid of the decimal point, we can multiply both sides of the equation by 10:

10x = 7.7777...

**Subtracting x from Both Sides**

Now, we can subtract x from both sides of the equation to get:

9x = 7

**Dividing Both Sides by 9**

Finally, we can divide both sides of the equation by 9 to solve for x:

x = 7/9

**So, What is 7 Repeating as a Fraction?**

Therefore, 7 repeating as a fraction is equal to **7/9**.

**Conclusion**

In conclusion, converting 7 repeating to a fraction involves identifying the repeating pattern, setting up an equation, and solving for x. By following these steps, we can convert any repeating decimal to a fraction.