Question

Without using a calculator, convert 0.75 to a simplified fraction.

Answer 1

To convert the decimal \( 0.75 \) to a fraction, we can follow these steps:

1. Recognize what \( 0.75 \) represents in fraction form. The decimal \( 0.75 \) can be read as "75 hundredths", which can be expressed as:
\[
\frac{75}{100}
\]

2. Next, we simplify the fraction \( \frac{75}{100} \). To do this, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of \( 75 \) and \( 100 \) is \( 25 \).

3. Now, we can divide both the numerator and the denominator by their GCD:
\[
\frac{75 \div 25}{100 \div 25} = \frac{3}{4}
\]

Thus, the simplified fraction for \( 0.75 \) is:
\[
\frac{3}{4}
\]