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.
