To find the decimal equivalent of the mixed number [tex]\(3 \frac{5}{8}\)[/tex], follow these steps:
1. Convert the mixed number to an improper fraction:
- The mixed number [tex]\(3 \frac{5}{8}\)[/tex] is the same as [tex]\(3 + \frac{5}{8}\)[/tex].
2. Convert the fractional part to a decimal:
- The fraction [tex]\(\frac{5}{8}\)[/tex] can be converted to a decimal by performing the division [tex]\(5 \div 8\)[/tex].
- [tex]\(5 \div 8 = 0.625\)[/tex].
3. Add the decimal to the whole number part:
- The whole number part of the mixed number is [tex]\(3\)[/tex].
- Adding the decimal to the whole number gives [tex]\(3 + 0.625 = 3.625\)[/tex].
Thus, the decimal equivalent of [tex]\(3 \frac{5}{8}\)[/tex] is 3.625.
Therefore, the correct answer is [tex]\( \boxed{3.625} \)[/tex].
