How do you convert the decimal 0.75 to a fraction?

To convert the decimal 0.75 to a fraction, you start by recognizing that 0.75 represents 75 hundredths. This can be expressed as:

[ 0.75 = \frac{75}{100}

]

Next, to simplify this fraction, you need to find the greatest common divisor (GCD) of the numerator (75) and the denominator (100). The GCD of 75 and 100 is 25.

Now, divide both the numerator and the denominator by their GCD:

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

This means that the simplest form of 75/100 is 3/4. Therefore, the decimal 0.75 converts directly to the fraction 3/4.

This fraction illustrates a fundamental aspect of decimals and fractions, where decimals with two decimal places can often be converted by creating a fraction with a denominator of 100, and subsequently simplifying. In this case, you've correctly identified that the fraction corresponding to the decimal 0.75 is indeed 3/4.