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Convert the decimal below to a fraction in simplest form.

0.38

1 answer

To convert the decimal \(0.38\) to a fraction, follow these steps:

  1. Write the decimal as a fraction. Since there are two digits after the decimal point, we can write: \[ 0.38 = \frac{38}{100} \]

  2. Next, simplify the fraction \( \frac{38}{100} \) by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of \(38\) and \(100\) is \(2\).

  3. Divide both the numerator and the denominator by their GCD: \[ \frac{38 \div 2}{100 \div 2} = \frac{19}{50} \]

Therefore, the decimal \(0.38\) as a simplified fraction is: \[ \boxed{\frac{19}{50}} \]