What is the fractional equivalent of the decimal 0.75?

To understand why the fractional equivalent of the decimal 0.75 is 3/4, it is helpful to consider the relationship between decimals and fractions. The decimal 0.75 can be interpreted as 75 hundredths, or 75/100.

To simplify this fraction, both the numerator (75) and the denominator (100) can be divided by their greatest common divisor, which is 25. Performing this division, we get:

75 ÷ 25 = 3

100 ÷ 25 = 4

This results in the simplified fraction 3/4. Thus, the decimal 0.75 perfectly converts to the fraction 3/4, indicating that it represents three parts out of four equal parts, visually and conceptually capturing the same value.