Subjects algebra

Percent Conversion 51477D

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1. The problem is to understand what 42% means and how to express it as a decimal and a fraction. 2. The percent symbol (%) means "per hundred," so 42% means 42 out of 100. 3. To convert a percent to a decimal, divide by 100: $$42\% = \frac{42}{100} = 0.42$$ 4. To convert a percent to a fraction, write it as \(\frac{42}{100}\) and simplify by dividing numerator and denominator by their greatest common divisor, which is 2: $$\frac{42}{100} = \frac{\cancel{42}^{{21}}}{\cancel{100}^{{50}}} = \frac{21}{50}$$ 5. So, 42% equals 0.42 as a decimal and \(\frac{21}{50}\) as a simplified fraction. This means if you have 100 parts, 42% corresponds to 42 parts, or equivalently 0.42 in decimal form or \(\frac{21}{50}\) in fraction form.