Question

Calculate this mixed fraction to improper fraction.
-6 8/9

Answer 1

To convert the mixed fraction \(-6 \frac{8}{9}\) to an improper fraction, follow these steps:

1. Multiply the whole number part by the denominator of the fractional part.
2. Add the numerator of the fractional part to this result.
3. The new numerator is combined with the original denominator.

**Steps:**

1. The whole number is \(-6\) and the fraction is \(\frac{8}{9}\).
2. Multiply the whole number by the denominator:
\[
-6 \times 9 = -54
\]
3. Add the numerator of the fractional part (\(8\)) to this result:
\[
-54 + 8 = -46
\]
4. Now, write the result as an improper fraction, maintaining the same denominator:
\[
-46/9
\]

Thus, the mixed fraction \(-6 \frac{8}{9}\) in improper fraction form is \(\frac{-46}{9}\).