34 divided by 15
Understand the Problem
The question is asking for the result of dividing 34 by 15, which is a straightforward mathematical operation.
Answer
The result of dividing 34 by 15 is approximately $2.27$ or as a mixed number $2 \frac{4}{15}$.
Answer for screen readers
The result of dividing 34 by 15 is approximately $2.27$ or as a mixed number $2 \frac{4}{15}$.
Steps to Solve
- Set up the division equation
To find the result of dividing 34 by 15, we set up the equation as follows:
$$ \frac{34}{15} $$
- Perform the division
When you divide 34 by 15, you're essentially determining how many times 15 fits into 34. Let's perform the division:
$$ 34 \div 15 = 2.2666... $$
This means 15 goes into 34 twice (since $2 \times 15 = 30$) with a remainder.
- Calculate the remainder
To find the remainder, we subtract the product of 15 and the quotient (which is 2) from 34:
$$ 34 - (2 \times 15) = 34 - 30 = 4 $$
Thus, we can express the answer as a mixed number:
- Write the final answer
The division result can be presented in decimal form or as a mixed number. In decimal form, it's approximately:
$$ \frac{34}{15} \approx 2.27 $$
As a mixed number, it can be expressed as ( 2 \frac{4}{15} ).
The result of dividing 34 by 15 is approximately $2.27$ or as a mixed number $2 \frac{4}{15}$.
More Information
When dividing two numbers, it's essential to understand that the result can be expressed in various forms: as a decimal, a whole number with a remainder, or a mixed number. Each format is useful in different contexts.
Tips
- Forgetting to identify the remainder: Some students only focus on the decimal result and forget to acknowledge any remainder.
- Not simplifying the mixed number: Students might leave the mixed number unsimplified or overlook that it can be expressed in decimal form.