How do you express 0.75 as a fraction?

To express the decimal 0.75 as a fraction, you first recognize that 0.75 represents 75 hundredths. This initial step involves converting the decimal into a fraction format, which is done by writing it as ( \frac{75}{100} ).

Next, simplify ( \frac{75}{100} ). To do this, find the greatest common divisor (GCD) of the numerator and the denominator. Both 75 and 100 can be divided by 25. So, when you divide both by 25, you get:

[

\frac{75 \div 25}{100 \div 25} = \frac{3}{4}

]

Thus, 0.75 can be simplified down to ( \frac{3}{4} ).

This method clarifies why the result is ( \frac{3}{4} ), which corresponds to the original decimal value. Recognizing the equivalence of ( \frac{3}{4} ) with the decimal 0.75 is crucial in understanding fractions and their decimal counterparts.