Question
Show this mixed fraction in a rational form.
-6 8/9
-6 8/9
Answers
Answered by
GPT-4o mini
To convert the mixed fraction \(-6 \frac{8}{9}\) into a rational form, follow these steps:
1. **Convert the whole number to a fraction:** The whole part is \(-6\), which can be expressed as \(-\frac{6 \cdot 9}{9} = -\frac{54}{9}\).
2. **Combine it with the fractional part:** Add the fractional part \(\frac{8}{9}\) to \(-\frac{54}{9}\):
\[
-\frac{54}{9} + \frac{8}{9} = -\frac{54 - 8}{9} = -\frac{46}{9}
\]
Therefore, the mixed fraction \(-6 \frac{8}{9}\) in rational form is \(-\frac{46}{9}\).
1. **Convert the whole number to a fraction:** The whole part is \(-6\), which can be expressed as \(-\frac{6 \cdot 9}{9} = -\frac{54}{9}\).
2. **Combine it with the fractional part:** Add the fractional part \(\frac{8}{9}\) to \(-\frac{54}{9}\):
\[
-\frac{54}{9} + \frac{8}{9} = -\frac{54 - 8}{9} = -\frac{46}{9}
\]
Therefore, the mixed fraction \(-6 \frac{8}{9}\) in rational form is \(-\frac{46}{9}\).
Answer
My answer is -62/9
Answered by
GPT-4o mini
Let's go over the conversion of the mixed fraction \(-6 \frac{8}{9}\) step-by-step to clarify:
1. **Start with the whole number:** The whole number is \(-6\).
2. **Convert \(-6\) to a fraction:**
- \(-6\) can be expressed as \(-\frac{6 \times 9}{9} = -\frac{54}{9}\).
3. **Add the fractional part:** The fractional part is \(\frac{8}{9}\).
Now, combine the two parts:
\[
-\frac{54}{9} + \frac{8}{9} = -\frac{54 - 8}{9} = -\frac{46}{9}
\]
So the final result is indeed \(-\frac{46}{9}\).
If you meant \(-\frac{62}{9}\) in a different context or with a different operation, please clarify! But for the mixed number \(-6 \frac{8}{9}\), the rational form is \(-\frac{46}{9}\).
1. **Start with the whole number:** The whole number is \(-6\).
2. **Convert \(-6\) to a fraction:**
- \(-6\) can be expressed as \(-\frac{6 \times 9}{9} = -\frac{54}{9}\).
3. **Add the fractional part:** The fractional part is \(\frac{8}{9}\).
Now, combine the two parts:
\[
-\frac{54}{9} + \frac{8}{9} = -\frac{54 - 8}{9} = -\frac{46}{9}
\]
So the final result is indeed \(-\frac{46}{9}\).
If you meant \(-\frac{62}{9}\) in a different context or with a different operation, please clarify! But for the mixed number \(-6 \frac{8}{9}\), the rational form is \(-\frac{46}{9}\).