How can 0.75 be expressed as a fraction in simplest form?

To express 0.75 as a fraction in its simplest form, start by recognizing that the decimal 0.75 can be interpreted as "75 hundredths." This expression can be written as the fraction 75/100.

Next, it's essential to simplify this fraction. To simplify 75/100, find the greatest common divisor (GCD) of 75 and 100. The GCD is 25, as both numbers can be divided by 25.

Dividing both the numerator and the denominator by 25 yields:

75 ÷ 25 = 3
100 ÷ 25 = 4

Thus, 75/100 simplifies to 3/4.

Consequently, 0.75 expressed as a fraction in simplest form is indeed 3/4.