The problem asks to represent 42% as a fraction in simplest form. The decimal representation is given as 0.42.

ArithmeticFractionsPercentagesSimplificationGreatest Common Divisor (GCD)
2025/4/18

1. Problem Description

The problem asks to represent 42% as a fraction in simplest form. The decimal representation is given as 0.
4
2.

2. Solution Steps

First, convert the percentage to a fraction by dividing by 100:
42%=4210042\% = \frac{42}{100}.
Next, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 42 and 100 is

2. Divide both numerator and denominator by 2:

42100=42÷2100÷2=2150\frac{42}{100} = \frac{42 \div 2}{100 \div 2} = \frac{21}{50}.
Since 21 and 50 do not share any common factors other than 1, the fraction 2150\frac{21}{50} is in simplest form.

3. Final Answer

21/50