109 divided by 4
Understand the Problem
The question is asking for the result of dividing 109 by 4, which involves performing a simple arithmetic operation.
Answer
$27.25$
Answer for screen readers
The result of dividing 109 by 4 is $27.25$.
Steps to Solve
-
Set up the division problem
We need to divide 109 by 4. We can write this as:
$$ 109 \div 4 $$ -
Perform the division
Now let's carry out the division. When you divide 109 by 4, you can see how many times 4 fits into 109.
4 goes into 10 two times (since $4 \times 2 = 8$) and leaves a remainder of 2. -
Continue the division with the remainder
Bring down the next digit in 109 which is 9. Now we have 29.
Next, we see how many times 4 fits into 29.
4 goes into 29 seven times (since $4 \times 7 = 28$) and leaves a remainder of 1. -
Express the result
After completing the division, we have:
$$ 109 \div 4 = 27 \text{ remainder } 1 $$
This can also be expressed as:
$$ 27 + \frac{1}{4} $$
As a decimal, this is:
$$ 27.25 $$
The result of dividing 109 by 4 is $27.25$.
More Information
The answer $27.25$ indicates that 4 fits into 109 a total of 27 times, with a remainder that accounts for an additional quarter (or 0.25). This highlights how division can yield both integer and decimal results, illustrating the concept of remainders in division.
Tips
- Forgetting to include the remainder when converting from the whole number to decimal can lead to incorrect results.
- Mistakenly calculating the multiplication in the division process can result in miscounting how many times the divisor fits into the dividend.
