145 divided by 12
Understand the Problem
The question is asking for the result of the division of 145 by 12, which is a straightforward mathematical computation.
Answer
$12.0833\ldots$ or $12 \frac{1}{12}$
Answer for screen readers
The result of dividing 145 by 12 is $12.0833\ldots$ or $12 \frac{1}{12}$.
Steps to Solve
- Set up the division problem
We need to divide 145 by 12. This can be written as:
$$ \frac{145}{12} $$
- Perform the division
To divide, we see how many times 12 fits into 145:
12 goes into 14 one time (which gives us 12). Subtracting 12 from 14 leaves us with 2. Then, bring down the next digit, 5, making it 25.
- Calculate how many times 12 fits into 25
12 fits into 25 two times (which gives us 24). Subtracting 24 from 25 leaves us with 1. Thus, we can summarize:
$$ 145 \div 12 = 12 \text{ remainder } 1 $$
- Express as a decimal (optional)
If we want a more exact answer, we can continue by adding a decimal point and zeros. So, we add a zero making 10. 12 goes into 10 zero times. Bringing down another zero makes it 100.
12 goes into 100 eight times (which gives us 96). Subtracting gives us:
$$ 100 - 96 = 4 $$
Now bring down another zero to make it 40. 12 goes into 40 three times (which gives us 36). Subtracting gives us:
$$ 40 - 36 = 4 $$
Repeating this will show that the division goes on as 0.083.. hence:
So to summarize,
$$ 145 \div 12 = 12.083... $$
Resulting in 12 with a repeating decimal.
The result of dividing 145 by 12 is $12.0833\ldots$ or $12 \frac{1}{12}$.
More Information
When dividing, you can also express the result as a mixed number. In this case, $145 \div 12$ can be written as $12\frac{1}{12}$. The decimal representation reveals that division can produce repeating decimals.
Tips
- Forgetting to add zeros after the decimal point when further dividing.
- Miscalculating the times that 12 fits into the subsequent numbers during long division.
- Not recognizing when to stop the division if just looking for a simple answer.
