76 divided by 7
Understand the Problem
The question is asking for the result of the division of 76 by 7, which is a simple arithmetic operation.
Answer
$10 \frac{6}{7}$ or approximately $10.86$
Answer for screen readers
The result of dividing 76 by 7 is $10 \frac{6}{7}$ or approximately $10.86$.
Steps to Solve
- Set up the division
To find the result of dividing 76 by 7, we express this as
$$ 76 \div 7 $$
or
$$ \frac{76}{7} $$.
- Perform the division
Calculate how many times 7 fits into 76.
7 fits into 76 a total of 10 times because
$$ 7 \times 10 = 70 $$.
- Calculate the remainder
Now subtract 70 from 76 to find the remainder:
$$ 76 - 70 = 6 $$.
- Formulate the final answer
Since 7 fits into 76 a total of 10 times with a remainder of 6, we can express the answer as a mixed number:
$$ 10 \frac{6}{7} $$
or as a decimal:
$$ 10.8571 \approx 10.86 $$.
The result of dividing 76 by 7 is $10 \frac{6}{7}$ or approximately $10.86$.
More Information
The division of integers often leads to a quotient and a remainder, which can be expressed in different forms. This particular division showcases how mixed numbers and decimals can convey the same value.
Tips
- Forgetting to account for the remainder when converting to a mixed number.
- Confusing mixed numbers and improper fractions.
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