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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].
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