QQuestionMathematics
QuestionMathematics
Convert 4.5% to a fraction in simplest form and a decimal.
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Answer
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Step 1:I'll solve this step by step following the LaTeX formatting guidelines precisely:
Step 2:: Convert the percentage to a decimal
4.5\% = 0.045
To convert a percentage to a decimal, divide the percentage number by 100.
Step 3:: Convert to a fraction
0.045 = \frac{45}{1000}
First, write the decimal as a fraction with the decimal digits in the numerator and the appropriate power of 10 in the denominator.
Step 4:: Simplify the fraction
\frac{45}{1000} = \frac{45 \div 5}{1000 \div 5} = \frac{9}{200}
To simplify, find the greatest common factor (GCF) of 45 and 1000. The GCF is 5.
Final Answer
- Decimal form: 0.045 - Fraction in simplest form: \frac{9}{200}
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