To convert the fraction [tex]\(\frac{3}{4}\)[/tex] to a decimal, follow these steps:
1. Perform the Division:
Divide the numerator (3) by the denominator (4). When you perform this division, [tex]\(3 \div 4 = 0.75\)[/tex].
2. Consider the Decimal Value:
The result of the division is 0.75. Notice that this decimal terminates (it doesn't go on forever).
3. Round to the Nearest Hundredth:
Since the decimal 0.75 terminates, it is already precise to the hundredths place. Therefore, there is no need for rounding. If there were more digits, we would look at the thousandths place to see if rounding would be necessary.
Therefore, the decimal representation of the fraction [tex]\(\frac{3}{4}\)[/tex] is 0.75.
