Overline 7 as a Fraction
An overline above a number is a notation used to indicate that the number is being repeated indefinitely. For example, 0.⁷ indicates that the digit 7 is being repeated indefinitely after the decimal point. In this article, we will explore how to convert 0.⁷ into a fraction.
Converting 0.⁷ to a Fraction
To convert 0.⁷ to a fraction, we can use the following steps:
- Let x = 0.⁷ We start by letting x equal to 0.⁷.
- Multiply both sides by 10 We multiply both sides of the equation by 10, which gives us: 10x = 7.⁷
- Subtract x from both sides We subtract x from both sides of the equation, which gives us: 9x = 7
- Divide both sides by 9 Finally, we divide both sides of the equation by 9, which gives us: x = 7/9
Therefore, 0.⁷ can be converted to the fraction 7/9.
Conclusion
In conclusion, we have successfully converted 0.⁷ to a fraction, which is 7/9. This notation is commonly used in mathematics to represent repeating decimals, and understanding how to convert them to fractions is an important skill in algebra and arithmetic.
