How much is 76 divided by 6?
Understand the Problem
The question is asking for the result of the division of 76 by 6, which is a simple mathematical operation.
Answer
$12 \frac{2}{3}$
Answer for screen readers
The result of dividing 76 by 6 is $12 \frac{2}{3}$.
Steps to Solve
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Set up the division problem Write the division statement as $76 \div 6$.
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Perform the division Divide 76 by 6. Since 6 goes into 76 a total of 12 times (because $6 \times 12 = 72$), we find the quotient.
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Calculate the remainder After multiplying 6 by 12, subtract the product from 76: $$ 76 - 72 = 4 $$ This means we have a remainder of 4.
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Combine the results The division can be expressed as: $$ 76 \div 6 = 12 \text{ R } 4 $$ or as a mixed number: $$ 12 \frac{4}{6} $$
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Simplify the fraction Since $\frac{4}{6}$ can be simplified to $\frac{2}{3}$, the final result can be expressed as: $$ 12 \frac{2}{3} $$
The result of dividing 76 by 6 is $12 \frac{2}{3}$.
More Information
When dividing numbers, the quotient tells how many times the divisor fits into the dividend, and any leftover amount is the remainder. This problem illustrates the concept of division with remainder which occurs frequently in arithmetic.
Tips
- Confusing the remainder with the final answer: It's important to remember to combine the quotient and remainder correctly.
- Not simplifying the fraction after finding the remainder: Always check if the fraction can be reduced.
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