QQuestionMathematics
QuestionMathematics
Rewrite the percent as a fraction or mixed number in simplest form: 87.5%
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Answer
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Step 1:I'll solve this problem step by step following the specified LaTeX formatting guidelines:
Step 2:: Convert the percentage to a fraction
87.5\% = \frac{87.5}{100}
To convert a percentage to a fraction, divide the percentage by 100 and simplify:
Step 3:: Simplify the fraction
\frac{87.5}{100} = \frac{87.5 \times 2}{100 \times 2} = \frac{175}{200}
First, multiply both numerator and denominator by 2 to eliminate the decimal:
Step 4:: Reduce the fraction to its simplest form
\frac{175}{200} = \frac{175 \div 25}{200 \div 25} = \frac{7}{8}
Find the greatest common factor (GCF) of 175 and 200: - Factors of 175: 1, 5, 7, 25, 35, 175 - Factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 - The GCF is 25 Divide both numerator and denominator by 25:
Final Answer
87.5\% = \frac{7}{8}
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