Subjects algebra

Decimal Conversion 0D1367

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1. The problem is to convert the decimal number $0.036$ into a fraction and a percent. 2. To convert a decimal to a fraction, write the decimal as $\frac{\text{decimal number without decimal point}}{\text{power of 10}}$. Here, $0.036 = \frac{36}{1000}$ because there are three digits after the decimal point. 3. Simplify the fraction $\frac{36}{1000}$ by dividing numerator and denominator by their greatest common divisor (GCD), which is 4: $$\frac{36}{1000} = \frac{\cancel{36}^9}{\cancel{1000}^{250}}$$ 4. So, the simplified fraction is $\frac{9}{250}$. 5. To convert the decimal to a percent, multiply by 100: $$0.036 \times 100 = 3.6\%$$ 6. Final answers: - Fraction: $\frac{9}{250}$ - Percent: $3.6\%$