Questions: Convert the following to a fraction and reduce to lowest terms as needed. 61 1/2 % =

$Convert the following to a fraction and reduce to lowest terms as needed. 61 1/2 % =$

Transcript text: Convert the following to a fraction and reduce to lowest terms as needed. \[ 61 \frac{1}{2} \%= \]

Solution

Step 1: Convert the percentage to a fraction

\[ 61 \frac{1}{2} \% = \frac{61.5}{100} \]

Step 2: Eliminate the decimal by multiplying numerator and denominator by 10

\[ \frac{61.5 \times 10}{100 \times 10} = \frac{615}{1000} \]

Step 3: Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD)

The GCD of 615 and 1000 is 5. \[ \frac{615 \div 5}{1000 \div 5} = \frac{123}{200} \]

$\boxed{\frac{123}{200}}$

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