Convert the fraction \(\frac{3}{4}\) into a decimal.

To convert the fraction (\frac{3}{4}) into a decimal, you need to perform the division of the numerator (3) by the denominator (4). When you divide 3 by 4, you can set it up as:

3 divided by 4 equals 0.75.

This can be understood by recognizing how many times 4 fits into 3. Since 4 does not fit into 3 even once, we look at smaller divisions, such as 30 (by adding a decimal point and a zero) to see how many times 4 fits into it.

4 goes into 30 seven times (since (4 \times 7 = 28)), and when you subtract 28 from 30, you get 2. Bringing down another zero gives you 20. Here, 4 fits into 20 five times (since (4 \times 5 = 20)), leading to a final subtraction of zero.

This method shows that (\frac{3}{4}) equals 0.75, confirming that the correct decimal representation of the fraction (\frac{3}{4}) is indeed 0.75.