0.6 Repeating as a Percentage
What is 0.6 Repeating?
0.6 repeating, also written as 0.6̄, is a non-terminating decimal that repeats indefinitely in a cyclical pattern. In other words, it is a decimal that goes on forever in a repetitive sequence.
Converting 0.6 Repeating to a Fraction
To convert 0.6 repeating to a fraction, we can use the following steps:
- Let x = 0.6̄
- Multiply both sides by 10 to get 10x = 6.6̄
- Subtract x from both sides to get 9x = 6
- Divide both sides by 9 to get x = 2/3
So, 0.6 repeating is equal to the fraction 2/3.
Converting 0.6 Repeating to a Percentage
To convert 0.6 repeating to a percentage, we can multiply the fraction by 100:
- 2/3 × 100 = 66.67%
So, 0.6 repeating is equal to 66.67%.
Real-World Applications
Understanding how to convert repeating decimals to fractions and percentages is essential in various aspects of life, such as:
- Finance: Calculating interest rates, investment returns, and discounts.
- Science: Measuring quantities, such as speed, distance, and temperature.
- Everyday Life: Determining discounts, tips, and sales tax.
In conclusion, 0.6 repeating is equal to 2/3 as a fraction and 66.67% as a percentage. This conversion is crucial in various mathematical and real-world applications.
