Question

Show this mixed fraction in a rational form.
-6 8/9

Answer 1

My answer is -62/9

Answer 2

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 \(-\frac{46}{9}\).

Answer 3

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 \(-\frac{46}{9}\).