What is 6.30 divided by 18
The Correct Answer and Explanation is:
To solve the division problem 6.30 ÷ 18, you follow these steps:
Step 1: Simplify the division
Start by dividing 6.30 by 18. First, remove the decimal by converting 6.30 into an integer. This can be done by multiplying both the numerator (6.30) and the denominator (18) by 10, making the division:
[
\frac{6.30}{18} = \frac{63}{180}
]
Now, divide 63 by 180.
Step 2: Perform the division
When you divide 63 by 180, you can either do it directly or use long division. By performing the division, you get:
[
63 ÷ 180 = 0.35
]
Thus, the result of 6.30 ÷ 18 is 0.35.
Step 3: Understanding the division
The process of dividing a decimal number like 6.30 by an integer like 18 involves two main parts: adjusting the decimal (if necessary) and performing the division.
- Converting to a simpler form: Multiplying both the numerator and denominator by 10 made the decimal easier to manage. This conversion ensures that you work with whole numbers, which simplifies the division process.
- Long division or calculator: Once the numbers are adjusted, you can perform long division or use a calculator. The division tells you how many times 18 fits into 63, and any remainder gets converted into a decimal part. In this case, 18 fits into 63 three times (18 × 3 = 54), leaving a remainder. When you carry down the decimal point and continue the division, the final answer is 0.35.
Step 4: Check the result
To check, you can multiply 0.35 by 18 to verify the result:
[
0.35 × 18 = 6.30
]
Thus, the result is correct.