To convert 4.5% to a fraction, follow these steps:
-
Write 4.5% as a fraction:
\[ 4.5% = \frac{4.5}{100} \] -
To eliminate the decimal, multiply the numerator and the denominator by 10:
\[ \frac{4.5 \times 10}{100 \times 10} = \frac{45}{1000} \] -
Now, simplify the fraction by finding the greatest common divisor (GCD) of 45 and 1000. The GCD is 5.
Dividing both the numerator and denominator by 5:
\[ \frac{45 \div 5}{1000 \div 5} = \frac{9}{200} \]
Thus, 4.5% as a fraction is \(\frac{9}{200}\).