175 divided by 6
Understand the Problem
The question is asking for the result of dividing 175 by 6. This involves performing a division operation to find how many times 6 fits into 175, and determining the remainder if necessary.
Answer
The result of dividing 175 by 6 is $29 \frac{1}{6}$.
Answer for screen readers
The result of dividing 175 by 6 is 29 with a remainder of 1, or expressed as a mixed number: $29 \frac{1}{6}$.
Steps to Solve
- Perform the Division
We will divide 175 by 6 to determine how many whole times 6 fits into 175.
$$ 175 \div 6 = 29.1667 $$
This indicates that 6 fits into 175 a total of 29 times with some remainder.
- Calculate the Whole Number Quotient
We take the whole number part of the division result:
The whole number quotient is 29.
- Find the Remainder
To find the remainder, we multiply the whole number quotient by the divisor:
$$ 6 \times 29 = 174 $$
Now subtract this from 175 to find the remainder:
$$ Remainder = 175 - 174 = 1 $$
- Write the Result
We can express the result as:
$$ 175 \div 6 = 29 \text{ R } 1 $$
So, we have the quotient of 29 and a remainder of 1.
The result of dividing 175 by 6 is 29 with a remainder of 1, or expressed as a mixed number: $29 \frac{1}{6}$.
More Information
This division shows how many times one number fits into another, and the remainder gives information about what's left over after the division. The mixed number representation is commonly used when dealing with remainders.
Tips
- Not considering the remainder: Some might give only the quotient without mentioning the remainder.
- Rounding prematurely: Rounding the division result too early can lead to incorrect answers. Always use the whole number part and then calculate the remainder.