To convert the fraction [tex]\(\frac{18}{5}\)[/tex] into a decimal, you follow these steps:
1. Division Setup: Start by setting up the division where 18 (the numerator) is divided by 5 (the denominator).
2. Initial Division: Determine how many times 5 can fit into 18. In this case, 5 goes into 18 three times (since 5 times 3 is 15).
3. Subtract and Remainder: After multiplying 5 by 3, you get 15. Subtract 15 from 18 which leaves a remainder of 3.
4. Bring Down Zero: Since there is a remainder, we need to continue with the division process. Bring down a zero to make the remainder 30.
5. Second Division: Now, determine how many times 5 can fit into 30. It fits exactly 6 times (since 5 times 6 is 30).
6. Complete the Division: Multiply 5 by 6 to get 30. Subtract 30 from 30, which leaves a remainder of 0.
Since there are no more remainders, the decimal is complete.
Thus, the fraction [tex]\(\frac{18}{5}\)[/tex] converts to the decimal [tex]\(3.6\)[/tex].
