What is 4/7 as a percent?
The correct answer and explanation is:
To convert 47\frac{4}{7} into a percentage, you can follow these steps:
- Divide the numerator by the denominator:
First, divide 4 by 7: 47=0.571428571\frac{4}{7} = 0.571428571 The result is a repeating decimal. - Convert to a percentage:
To convert a decimal to a percentage, multiply it by 100: 0.571428571×100=57.14285710.571428571 \times 100 = 57.1428571 This gives approximately 57.14%.
So, 47\frac{4}{7} as a percentage is about 57.14%.
Explanation
To understand the process of converting a fraction to a percentage, it is important to remember that a percentage represents a portion out of 100. The fraction 47\frac{4}{7} means 4 parts out of 7, and you need to express this ratio in terms of 100.
By dividing 4 by 7, you are determining what portion of 1 the fraction represents. Then, multiplying by 100 converts that ratio into a percentage, which helps in understanding how it compares to a whole (100%).
Fractions like 47\frac{4}{7} often result in repeating decimals. The result of 0.5714285710.571428571 is a repeating decimal because the digits “571428” repeat infinitely. When converting such fractions to percentages, rounding the result to a few decimal places (like 57.14%) is typical, depending on the level of precision required.
This conversion technique is fundamental in many fields, from finance to science, where you need to compare different ratios or express data as percentages for clarity.