Let's change the improper fraction [tex]\(\frac{15}{4}\)[/tex] into a mixed number.
1. Divide the numerator (15) by the denominator (4):
- When we do the division [tex]\( 15 \div 4 \)[/tex], we get a quotient of 3 and a remainder of 3.
2. Express this quotient and remainder in terms of a mixed number:
- The quotient (3) corresponds to the whole number part of the mixed number.
- The remainder (3) corresponds to the numerator of the fractional part of the mixed number, while the original denominator (4) stays the same.
3. Write the mixed number:
- Therefore, we can write the improper fraction [tex]\(\frac{15}{4}\)[/tex] as the mixed number [tex]\(3 \frac{3}{4}\)[/tex].
4. Convert the mixed number to a decimal to check:
- To further verify, convert [tex]\(3 \frac{3}{4}\)[/tex] to a decimal by converting the fraction [tex]\(\frac{3}{4}\)[/tex] to its decimal form:
- [tex]\(\frac{3}{4} = 0.75\)[/tex]
- Adding the whole number part to the decimal component, we get:
- [tex]\(3 + 0.75 = 3.75\)[/tex]
The correct answer is therefore:
[tex]\[ \boxed{3.75} \][/tex]
