write 2 1/10 as a percent
The correct answer and explanation is:
Sure! Here’s how to write 2 1/10 as a percent, along with a detailed explanation.
Step 1: Convert the mixed number to an improper fraction or a decimal
The mixed number is 2 1/10.
- The whole number part is 2.
- The fractional part is 1/10.
To convert it to a decimal: 2+110=2+0.1=2.12 + \frac{1}{10} = 2 + 0.1 = 2.1
So, 2 1/10 = 2.1 (decimal form).
Step 2: Convert the decimal to a percent
To convert a decimal to a percent, multiply by 100 and add the percent sign (%). 2.1×100=2102.1 \times 100 = 210
So, 2.1=210%2.1 = 210\%
Final answer:
2110=210%2 \frac{1}{10} = 210\%
Explanation (about 300 words):
When converting a mixed number like 2 1/10 to a percent, the first step is to express the number in a more manageable form, such as a decimal or an improper fraction. A mixed number consists of a whole number and a fraction. Here, the whole number is 2, and the fraction is 1/10.
To convert the fraction 1/10 to decimal form, divide the numerator (1) by the denominator (10), which equals 0.1. Adding this to the whole number 2 gives 2.1 as the decimal equivalent of 2 1/10.
Percents represent parts per hundred, meaning a percent is essentially a number out of 100. To convert any decimal to a percent, you multiply by 100 because “percent” means “per hundred.” For example, 0.5 as a decimal is 50%, because 0.5 × 100 = 50.
Applying this to 2.1, multiply 2.1 by 100 to find how many parts per hundred it represents: 2.1×100=2102.1 \times 100 = 210
This means 2.1 is the same as 210%. This might feel unintuitive because percents are often thought of as numbers less than 100%, but any number greater than 1 can be converted to a percent higher than 100%. For example, 3 as a decimal is 300%, which simply means three whole parts per hundred.
In summary, converting a mixed number to a percent involves converting the mixed number to a decimal first, then multiplying by 100. The result for 2 1/10 is 210%. This is a standard mathematical conversion method and is used frequently in contexts like statistics, finance, and everyday measurements.