Write 4.5% as a fraction

1 answer

To convert 4.5% to a fraction, follow these steps:

  1. Write 4.5% as a fraction:
    \[ 4.5% = \frac{4.5}{100} \]

  2. To eliminate the decimal, multiply the numerator and the denominator by 10:
    \[ \frac{4.5 \times 10}{100 \times 10} = \frac{45}{1000} \]

  3. 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 \(\frac{9}{200}\).