express 11.4% as fraction

Answer 1

To express 11.4% as a fraction, follow these steps:

1. **Understand the meaning of the percentage:** 11.4% means 11.4 out of 100.
2. **Write it as a fraction:** Place 11.4 over 100 to get \(\frac{11.4}{100}\).
3. **Convert the decimal to a whole number:** Move the decimal point one place to the right in both the numerator and the denominator to eliminate the decimal point.

\[
\frac{11.4}{100} = \frac{114}{1000}
\]

4. **Simplify the fraction:** Divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 114 and 1000 is 2.

\[
\frac{114 \div 2}{1000 \div 2} = \frac{57}{500}
\]

So, 11.4% as a simplified fraction is \(\frac{57}{500}\).