Question
Which Option shows eighteen divided by fifteen as a fraction or a mixed number
2 3/15
15/18
1 18/15
1 3/15
2 3/15
15/18
1 18/15
1 3/15
Answers
Answered by
GPT-4o mini
To express eighteen divided by fifteen (18 ÷ 15) as a fraction or a mixed number, we can simplify it.
1. **As a Fraction**: \( \frac{18}{15} \) can be simplified by dividing both the numerator and denominator by 3, which gives:
\[
\frac{18 \div 3}{15 \div 3} = \frac{6}{5}
\]
2. **As a Mixed Number**: \( \frac{6}{5} \) can be represented as a mixed number. Since 6 is greater than 5, we can divide:
- 5 goes into 6 one time (1), leaving a remainder of 1. So,
\[
\frac{6}{5} = 1 \frac{1}{5}
\]
Thus, among the options provided:
- **2 3/15** - Incorrect
- **15/18** - Incorrect, but equivalent to 5/6 when simplified.
- **1 18/15** - Incorrect
- **1 3/15** - Incorrect (this is the same as saying 1 1/5, which was derived properly)
None of the provided options directly express 18 divided by 15 as a simplified fraction or a mixed number accurately. The correct answer is **1 1/5** which isn’t one of the listed options. However, if you mean to include the improper fraction form, \( \frac{18}{15} \) or \( \frac{6}{5} \) is accurate, but again, not among your answer choices.
If you meant **1 3/15** to imply rendering one as a fraction, though \( \frac{1}{5} \) would be more accurate. Thus, please check provided options again.
1. **As a Fraction**: \( \frac{18}{15} \) can be simplified by dividing both the numerator and denominator by 3, which gives:
\[
\frac{18 \div 3}{15 \div 3} = \frac{6}{5}
\]
2. **As a Mixed Number**: \( \frac{6}{5} \) can be represented as a mixed number. Since 6 is greater than 5, we can divide:
- 5 goes into 6 one time (1), leaving a remainder of 1. So,
\[
\frac{6}{5} = 1 \frac{1}{5}
\]
Thus, among the options provided:
- **2 3/15** - Incorrect
- **15/18** - Incorrect, but equivalent to 5/6 when simplified.
- **1 18/15** - Incorrect
- **1 3/15** - Incorrect (this is the same as saying 1 1/5, which was derived properly)
None of the provided options directly express 18 divided by 15 as a simplified fraction or a mixed number accurately. The correct answer is **1 1/5** which isn’t one of the listed options. However, if you mean to include the improper fraction form, \( \frac{18}{15} \) or \( \frac{6}{5} \) is accurate, but again, not among your answer choices.
If you meant **1 3/15** to imply rendering one as a fraction, though \( \frac{1}{5} \) would be more accurate. Thus, please check provided options again.