Question

what fraction is equivalent to .45

Answer 1

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

1. Write 0.45 as a fraction over 1:
\[
\frac{0.45}{1}
\]

2. To eliminate the decimal, multiply both the numerator and the denominator by 100:
\[
\frac{0.45 \times 100}{1 \times 100} = \frac{45}{100}
\]

3. Next, simplify the fraction. The greatest common divisor (GCD) of 45 and 100 is 5. So, divide both the numerator and the denominator by 5:
\[
\frac{45 \div 5}{100 \div 5} = \frac{9}{20}
\]

Therefore, the fraction equivalent to 0.45 is \(\frac{9}{20}\).