Ask a New Question
Menu

Convert 0.45 to a fraction in its simplest form. (3 marks)

1 answer

To convert the decimal 0.45 to a fraction, follow these steps:

  1. Write the decimal as a fraction: \[ 0.45 = \frac{45}{100} \]

  2. Simplify the fraction: To simplify \(\frac{45}{100}\), find the greatest common divisor (GCD) of 45 and 100. The GCD is 5.

    Now, divide both the numerator and the denominator by 5: \[ \frac{45 \div 5}{100 \div 5} = \frac{9}{20} \]

  3. Final answer: The simplest form of 0.45 as a fraction is: \[ \frac{9}{20} \]

So, the final result is \(\frac{9}{20}\).