To express the decimal 0.75 as a fraction, we start by understanding its place value. The numeral 0.75 can be read as ’75 hundredths’ because it has two digits after the decimal point. Therefore, we can initially express it as:
0.75 = 75/100
Next, we can simplify this fraction. To do this, we 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, we can divide both the numerator and the denominator by their GCD:
Numerator: 75 ÷ 25 = 3
Denominator: 100 ÷ 25 = 4
So, when we simplify the fraction:
0.75 = 75/100 = 3/4
Thus, the decimal 0.75 expressed as a fraction in its simplest form is:
3/4
This means that for every 3 parts of something, there are a total of 4 equal parts, giving us a clear understanding of how the fraction relates to the whole.