To the nearest 10th of a percent what is 8/13 written as a percent
The Correct Answer and Explanation is:
Answer:
To the nearest tenth of a percent, 8/13 is 61.5%.
Explanation
To convert a fraction to a percent, you multiply the fraction by 100. A percent simply means “per hundred,” so you’re expressing how many parts out of 100 the fraction represents.
Start by dividing 8 by 13: 8÷13=0.615384615…8 \div 13 = 0.615384615…
This is a repeating decimal. Now, multiply that result by 100 to convert it to a percent: 0.615384615×100=61.5384615…0.615384615 \times 100 = 61.5384615…
This gives approximately 61.5384615%. But the question asks for the percent rounded to the nearest tenth of a percent. The tenths place is the first digit after the decimal in the percentage — in this case, it’s the 5 in 61.5.
To round to the nearest tenth, look at the digit after the tenths place (the hundredths place). That digit is a 3 (from 61.53…), which is less than 5, so we do not round up. Therefore, we keep the tenths digit as it is.
Thus, 61.5384615% rounded to the nearest tenth is: 61.5%\boxed{61.5\%}
Why This Matters:
Understanding how to convert and round fractions to percentages is a key skill in math, especially in real-world contexts like finance, statistics, and science. Whether you’re calculating tax, analyzing data, or determining grades, it’s essential to express ratios and parts as percentages.
Rounding to the nearest tenth of a percent is particularly useful when dealing with precision, such as in reporting scientific data or economic statistics. Being able to accurately express a fraction like 8/13 as 61.5% helps make numerical information easier to interpret and communicate effectively.
