Write 17 15 as a mixed number.
The correct answer and explanation is:
To write the improper fraction 17/15 as a mixed number, follow these steps:
✅ Correct Answer:
1 2/15
🧠 Explanation (300 words):
An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). In this case, 17/15 is improper because 17 is greater than 15.
To convert an improper fraction to a mixed number, you divide the numerator by the denominator: 17÷15=1 remainder 217 \div 15 = 1 \text{ remainder } 2
This means:
- 15 fits into 17 exactly 1 time (this is the whole number part).
- The remainder is 2 (this becomes the numerator of the fractional part).
- The denominator remains the same (15).
So, the mixed number is: 12151 \frac{2}{15}
This tells us that 17/15 is the same as 1 whole and 2/15 left over.
💡 Why Convert?
Converting an improper fraction to a mixed number can make it easier to:
- Visualize and understand quantities in real life (like recipes or measurements).
- Simplify results in arithmetic problems.
- Communicate more clearly, especially when dealing with amounts greater than one.
🔁 Check Your Work:
To verify the mixed number is correct, convert it back to an improper fraction: 1215=(1×15)+215=15+215=17151 \frac{2}{15} = \frac{(1 \times 15) + 2}{15} = \frac{15 + 2}{15} = \frac{17}{15}
✅ This confirms our answer is correct.
Summary:
17/15 as a mixed number is 1 2/15, which is easier to interpret and use in many real-world contexts.