94 divided by 7
Understand the Problem
The question is asking for the result of dividing 94 by 7, which is a straightforward arithmetic operation.
Answer
$13 \frac{3}{7}$
Answer for screen readers
The result of dividing 94 by 7 is $13 \frac{3}{7}$.
Steps to Solve
- Set up the division problem
We want to divide 94 by 7. We can express this as:
$$ \frac{94}{7} $$
- Perform the division
Now, we perform the division. 7 goes into 94 several times. To find how many times, we can start with a rough estimate by multiplying 7 by a number until it reaches the highest value less than or equal to 94.
Calculating:
$$ 7 \times 13 = 91 $$
And since:
$$ 7 \times 14 = 98 $$
This means 7 goes into 94 a total of 13 times.
- Calculate the remainder
Next, we need to find the remainder after determining how many times 7 fits into 94. We deduct the product from 94:
$$ 94 - 91 = 3 $$
So, the remainder is 3.
- Write the final answer in mixed number format
We can express the answer simply as a mixed number. The 13 represents how many times 7 fits into 94 and the remainder 3 represents what is left over. Therefore, it can be expressed as:
$$ 13 \frac{3}{7} $$
The result of dividing 94 by 7 is $13 \frac{3}{7}$.
More Information
The division of 94 by 7 not only shows an integer quotient but also gives a remainder that can be represented as a fraction, which is a common practice in arithmetic operations.
Tips
- A common mistake is rounding down the result instead of recognizing that there's a remainder. Always make sure to account for the leftover when the division is not exact.
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