Method 1: Changing the Denominator
- Divide 100 by the denominator, which is 8: 100 ÷ 8 = 12.5.
- Multiply both the numerator and denominator by the result from step 1:
17 × 12.5 = 212.5
8 × 12.5 = 100
- The fraction 17/8 as a percentage is 212.5%.
Method 2: Converting the Fraction to a Decimal and Multiplying by 100
- Divide the numerator, which is 17, by the denominator, which is 8: 17 ÷ 8 = 2.125.
- Multiply the result from step 1 by 100: 2.125 × 100 = 212.5%.
Sources
Key Facts
- Divide 100 by the denominator, which is 8: 100 ÷ 8 = 12.5.
- Multiply both the numerator and denominator by the result from step 1:
17 × 12.5 = 212.5
8 × 12.5 = 100 - The fraction 17/8 as a percentage is 212.5%.
Method 2: Converting the fraction to a decimal and multiplying by 100
- Divide the numerator, which is 17, by the denominator, which is 8: 17 ÷ 8 = 2.125.
- Multiply the result from step 1 by 100: 2.125 × 100 = 212.5%.
- What is 17/8 as a Percent? | Thinkster Math
- 17/8 as a Percentage | Convert 17/8 to Percent
- write 17/8 as a percent
FAQs
What is the percentage form of the fraction 17/8?
212.5%
How can I convert the fraction 17/8 to a percentage using Method 1?
Divide 100 by the denominator (8), then multiply both the numerator and denominator by the result.
What is the formula for converting a fraction to a percentage using Method 2?
Divide the numerator by the denominator to get a decimal, then multiply the decimal by 100.
What is the advantage of using Method 1 to convert a fraction to a percentage?
Method 1 may be easier to use for some people, especially if they are not comfortable with decimals.
What is the advantage of using Method 2 to convert a fraction to a percentage?
Method 2 may be easier to use for some people, especially if they are already familiar with converting decimals to percentages.
Can I use a calculator to convert 17/8 to a percentage?
Yes, you can use a calculator to divide 17 by 8 and then multiply the result by 100.
How do I write 17/8 as a mixed number?
To write 17/8 as a mixed number, divide the numerator (17) by the denominator (8). The quotient is 2, and the remainder is 1. Therefore, 17/8 as a mixed number is 2 1/8.
How do I convert a mixed number to a fraction?
To convert a mixed number to a fraction, multiply the whole number part by the denominator of the fraction part. Then, add the numerator of the fraction part to the product. The denominator remains the same. For example, to convert 2 1/8 to a fraction, we would do the following: 2 × 8 = 16, 16 + 1 = 17. Therefore, 2 1/8 as a fraction is 17/8.