To convert the decimal \( 0.75 \) to a fraction, we can follow these steps:
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Recognize what \( 0.75 \) represents in fraction form. The decimal \( 0.75 \) can be read as "75 hundredths", which can be expressed as: \[ \frac{75}{100} \]
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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 \( 25 \).
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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: \[ \frac{3}{4} \]
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