Question

simplest fraction and decimal form of 90.1%

Answer 1

To express 90.1% as a fraction and in decimal form, we can follow these steps:

1. **Convert Percentage to Decimal**:
\[
90.1\% = \frac{90.1}{100} = 0.901
\]

2. **Convert Decimal to Fraction**:
The decimal \(0.901\) can be expressed as:
\[
0.901 = \frac{901}{1000}
\]

3. **Simplify the Fraction**:
To check if \(\frac{901}{1000}\) can be simplified, we need to find the greatest common divisor (GCD) of 901 and 1000.
- Since 901 is a prime number, its only divisors are 1 and 901.
- 1000 is not divisible by 901, so the GCD is 1.

Since the GCD is 1, the fraction \(\frac{901}{1000}\) is already in its simplest form.

Thus, the simplest fraction form of 90.1% is \(\frac{901}{1000}\), and the decimal form is \(0.901\).