Convert 0.75 into a fraction.

To convert the decimal 0.75 into a fraction, begin by recognizing what the decimal represents. The number 0.75 can be interpreted as 75 hundredths, which can be expressed as the fraction 75/100.

Next, to simplify this fraction, find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 75 and 100 is 25. By dividing both the numerator and the denominator by their GCD, the fraction reduces as follows:

75 ÷ 25 = 3

100 ÷ 25 = 4

This simplification shows that 75/100 is equivalent to 3/4.

Thus, the conversion of 0.75 into a fraction yields 3/4, confirming that the correct answer is indeed 3/4. Understanding this simplification process is crucial for working with decimals and fractions in mathematics.