To solve the division problem [tex]\(\frac{18}{5}\)[/tex], you can follow these detailed steps:
1. Understand the Division: Here, we are asked to divide 18 by 5. This means we need to find out how many times 5 fits into 18 and what the remaining fraction is.
2. Perform the Division:
- Start by determining how many whole times the divisor (5) fits into the dividend (18):
- 5 goes into 18 three times because [tex]\(5 \times 3 = 15\)[/tex].
- Subtract this result from the original number to find the remainder:
- [tex]\(18 - 15 = 3\)[/tex].
3. Express the Remainder as a Fraction:
- You have a remainder of 3, and we need to continue the division to express it in decimal form.
- The remainder 3 needs to be divided by 5 to get the fractional part:
- This can be represented as [tex]\(\frac{3}{5}\)[/tex].
4. Convert to Decimal Form:
- Now divide 3 by 5: [tex]\( \frac{3}{5} = 0.6 \)[/tex].
5. Combine the Whole Number and the Decimal:
- The whole number from the division is 3.
- The decimal part from the remainder is 0.6.
- Therefore, combining these results gives us 3.6.
So, [tex]\(\frac{18}{5} = 3.6\)[/tex].
