The problem asks us to express $46\%$ as a decimal and as a fraction in simplest form. The decimal representation of $46\%$ is already given as $0.46$. We need to find the simplest form of the fraction representation.

ArithmeticPercentagesFractionsSimplification
2025/4/18

1. Problem Description

The problem asks us to express 46%46\% as a decimal and as a fraction in simplest form. The decimal representation of 46%46\% is already given as 0.460.46. We need to find the simplest form of the fraction representation.

2. Solution Steps

First, convert the percentage to a fraction. Since percent means "out of one hundred," we can write 46%46\% as 46100\frac{46}{100}.
Now, we need to simplify the fraction 46100\frac{46}{100}. Both the numerator and the denominator are divisible by

2. Divide both numerator and denominator by 2:

46÷2100÷2=2350\frac{46 \div 2}{100 \div 2} = \frac{23}{50}
Since 23 is a prime number, the fraction 2350\frac{23}{50} is in its simplest form.

3. Final Answer

2350\frac{23}{50}