The problem asks to convert the percentage $42\%$ into a fraction.

ArithmeticPercentagesFractionsFraction SimplificationGreatest Common Divisor
2025/4/16

1. Problem Description

The problem asks to convert the percentage 42%42\% into a fraction.

2. Solution Steps

To convert a percentage to a fraction, we divide the percentage by 100 and simplify the resulting fraction.
42%=4210042\% = \frac{42}{100}
Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 42 and 100 is

2. $\frac{42}{100} = \frac{42 \div 2}{100 \div 2} = \frac{21}{50}$

The fraction 2150\frac{21}{50} is in its simplest form because 21 and 50 have no common factors other than
1.

3. Final Answer

2150\frac{21}{50}

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