To convert the decimal 0.45 to a fraction, you can follow these steps:
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Write 0.45 as a fraction over 1:
\[ \frac{0.45}{1} \] -
To eliminate the decimal, multiply both the numerator and the denominator by 100:
\[ \frac{0.45 \times 100}{1 \times 100} = \frac{45}{100} \] -
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 \(\frac{9}{20}\).