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Answer :
To solve the division [tex]\( 3700 \div 12 \)[/tex], we want to divide 3700 by 12. Here is a step-by-step approach to reach the solution:
1. Understand the division:
We're distributing 3700 equally into 12 parts.
2. Perform the division:
- Start with the largest possible whole number part of the result.
- Divide 3700 by 12.
- When you do this division, you'll find that the whole number part of the result is 308.
3. Calculate the remainder:
- Multiply 308 by 12 to find out how much of the original 3700 we have accounted for:
[tex]\[
308 \times 12 = 3696
\][/tex]
- Subtract 3696 from 3700 to find the remainder:
[tex]\[
3700 - 3696 = 4
\][/tex]
4. Express the remainder as a decimal:
- Since we have a remainder of 4, we will express this as a fraction of 12, which is [tex]\(\frac{4}{12}\)[/tex].
- Simplify [tex]\(\frac{4}{12}\)[/tex] to [tex]\(\frac{1}{3}\)[/tex].
- As a decimal, [tex]\(\frac{1}{3} \)[/tex] is approximately 0.333333...
5. Combine the whole number and decimal:
- So, [tex]\( 308 \)[/tex] plus the decimal part [tex]\( 0.333333...\)[/tex].
Therefore, [tex]\( 3700 \div 12 \approx 308.3333333333333 \)[/tex].
So, the final answer is approximately 308.33 if rounded to two decimal places.
1. Understand the division:
We're distributing 3700 equally into 12 parts.
2. Perform the division:
- Start with the largest possible whole number part of the result.
- Divide 3700 by 12.
- When you do this division, you'll find that the whole number part of the result is 308.
3. Calculate the remainder:
- Multiply 308 by 12 to find out how much of the original 3700 we have accounted for:
[tex]\[
308 \times 12 = 3696
\][/tex]
- Subtract 3696 from 3700 to find the remainder:
[tex]\[
3700 - 3696 = 4
\][/tex]
4. Express the remainder as a decimal:
- Since we have a remainder of 4, we will express this as a fraction of 12, which is [tex]\(\frac{4}{12}\)[/tex].
- Simplify [tex]\(\frac{4}{12}\)[/tex] to [tex]\(\frac{1}{3}\)[/tex].
- As a decimal, [tex]\(\frac{1}{3} \)[/tex] is approximately 0.333333...
5. Combine the whole number and decimal:
- So, [tex]\( 308 \)[/tex] plus the decimal part [tex]\( 0.333333...\)[/tex].
Therefore, [tex]\( 3700 \div 12 \approx 308.3333333333333 \)[/tex].
So, the final answer is approximately 308.33 if rounded to two decimal places.
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