The problem asks to convert the percentage 46% into a fraction in simplest form.

ArithmeticPercentagesFractionsSimplification
2025/4/18

1. Problem Description

The problem asks to convert the percentage 46% into a fraction in simplest form.

2. Solution Steps

First, convert the percentage to a fraction by dividing by 100:
46%=4610046\% = \frac{46}{100}
Next, simplify the fraction. Both the numerator and denominator are even, so we can divide both by 2:
46100=46÷2100÷2=2350\frac{46}{100} = \frac{46 \div 2}{100 \div 2} = \frac{23}{50}
Since 23 is a prime number, and it doesn't divide 50, the fraction 2350\frac{23}{50} is in simplest form.

3. Final Answer

2350\frac{23}{50}