Answered

IDNLearn.com: Your destination for reliable and timely answers to any question. Explore thousands of verified answers from experts and find the solutions you need, no matter the topic.

Convert 8% into a decimal and a fraction.

Decimal:
8% = 0.08

Fraction:
8% = [tex]\(\frac{8}{100}\)[/tex] = [tex]\(\frac{2}{25}\)[/tex]

Sagot :

GinnyAnsweridn
Sure, let's convert 8% into both a decimal and a fraction, step-by-step.

### Converting 8% into a Decimal

1. Understand the Meaning of Percent: The percent symbol (%) means "per hundred." So, 8% means 8 per 100.
2. Convert Percent to Decimal: To convert a percentage to a decimal, divide by 100.

[tex]\[ 8\% = \frac{8}{100} \][/tex]

3. Perform the Division:

[tex]\[ \frac{8}{100} = 0.08 \][/tex]

So, 8% as a decimal is 0.08.

### Converting 8% into a Fraction

1. Write the Percent as a Fraction: As established, 8% means 8 per 100.

[tex]\[ 8\% = \frac{8}{100} \][/tex]

2. Simplify the Fraction: Simplifying involves finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by this number. The GCD of 8 and 100 is 4.

[tex]\[ \frac{8 \div 4}{100 \div 4} = \frac{2}{25} \][/tex]

So, 8% as a simplified fraction is [tex]\(\frac{2}{25}\)[/tex].

Therefore:
- The decimal representation of 8% is 0.08.
- The fraction representation of 8% is [tex]\(\frac{2}{25}\)[/tex].
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.