Convert the decimal or whole number to a percent 1.15 1/8
The Correct Answer and Explanation is:
To convert 1.15 1/8 to a percent, follow these steps:
Step 1: Convert the mixed number to a decimal
1.15 1/8 is a mixed number, which means it includes a whole number and a fractional part.
- First, convert 1/8 to a decimal:
1÷8=0.1251 \div 8 = 0.1251÷8=0.125 - Now, add the fractional part to the whole number:
1.15+0.125=1.2751.15 + 0.125 = 1.2751.15+0.125=1.275
Step 2: Convert the decimal to a percent
To convert a decimal to a percent, multiply it by 100:
1.275×100=127.5%1.275 \times 100 = 127.5\%1.275×100=127.5%
Final Answer:
1.15 1/8 = 127.5%
Explanation
Understanding how to convert numbers to percentages is an important math skill. When you convert a number to a percent, you are expressing how much out of 100 that number represents. The word “percent” itself means “per hundred.” So if you are told that something is 50 percent, that means 50 out of 100.
Let’s break down the number 1.15 1/8. It’s written as a mixed number, combining both a decimal (1.15) and a fraction (1/8). To handle this, you first need to convert everything into a single decimal. You do this by converting the fraction part to a decimal. Dividing 1 by 8 gives you 0.125. Then you add that decimal to the original decimal number, 1.15. When you add 1.15 and 0.125, you get 1.275.
Now that you have a single decimal value, you are ready to convert it into a percent. This part is simple. To change any decimal to a percent, you multiply it by 100. In this case, 1.275 times 100 equals 127.5. So, 1.15 1/8 is equal to 127.5 percent.
This means that the original value is a little more than 100 percent—specifically, 27.5 percent more. Converting mixed numbers to percentages is common in many real-life situations such as finance, statistics, and grades. Understanding how to make this conversion helps you interpret data and percentages more accurately and confidently in daily tasks.
