102 divided by 8
Understand the Problem
The question is asking for the result of dividing 102 by 8, which involves a simple mathematical calculation.
Answer
$12.75$
Answer for screen readers
The result of dividing 102 by 8 is $12.75$.
Steps to Solve
- Set up the division problem
We want to divide 102 by 8. We can express this as:
$$ \frac{102}{8} $$
- Perform the division calculation
Now, we divide 102 by 8.
First, estimate how many times 8 fits into 102.
8 fits into 102 about 12 times since:
$$ 8 \times 12 = 96 $$
- Subtract to find the remainder
Now we subtract 96 from 102 to find the remainder:
$$ 102 - 96 = 6 $$
So, we have a quotient of 12 and a remainder of 6.
- Express as a mixed number or decimal
This division can also be expressed as a mixed number. The result can be written as:
$$ 12 \frac{6}{8} $$
We can simplify the fraction:
$$ \frac{6}{8} = \frac{3}{4} $$
So, the answer in mixed number form is:
$$ 12 \frac{3}{4} $$
Alternatively, we can express the answer as a decimal by dividing the remainder by 8:
$$ 6 \div 8 = 0.75 $$
Adding this to the quotient gives:
$$ 12 + 0.75 = 12.75 $$
The result of dividing 102 by 8 is $12.75$.
More Information
Dividing whole numbers can lead to both an integer result and a remainder. Here, we also expressed the answer as a mixed number, which helps in understanding the division result a bit more intuitively.
Tips
- Forgetting to include the remainder when reporting results. Always consider both the quotient and the remainder in your answer.
- Not simplifying the fractional part. It's easier to understand if you simplify fractions.
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