Write the fraction 5/6 as a percent. Round to the nearest hundredth.
The correct answer and explanation is:
To write the fraction 5/6 as a percent and round to the nearest hundredth, follow these steps:
✅ Correct Answer:
5/6 = 83.33% (rounded to the nearest hundredth)
📚 Explanation (300 words):
To convert a fraction into a percent, you multiply the fraction by 100. This is because “percent” means “per hundred,” so you’re expressing the fraction out of 100 instead of its original denominator.
Let’s apply this to the fraction 5/6: 56×100=(5×1006)=5006\frac{5}{6} \times 100 = \left(\frac{5 \times 100}{6}\right) = \frac{500}{6}
Now divide 500 by 6: 500÷6=83.3333…500 \div 6 = 83.3333…
The decimal repeats with 3s, which means it is a repeating decimal. Since the problem asks for the answer to be rounded to the nearest hundredth, we look at the third digit after the decimal to decide how to round.
- 83.3333… → The first two decimal places are 33.
- The third decimal digit is a 3, which is less than 5.
- Therefore, we round down, and the decimal becomes 83.33.
Now, we add the percent sign to convert the decimal into a percent: 83.33%\boxed{83.33\%}
This tells us that 5/6 is equivalent to 83.33%, which means if you had something divided into 6 equal parts and took 5 of those parts, you would have 83.33% of the whole.
This process is essential in many real-world applications such as finance, grading systems, and statistics, where percentages provide a clearer picture of proportions compared to fractions. For example, a test score of 5/6 might be more easily understood as an 83.33% score, which people intuitively associate with a “B” grade in many grading systems.
In summary, converting 5/6 to a percent involves multiplying by 100, simplifying, and rounding to the desired place value, resulting in 83.33%.