Question

What is −4 5/11 − 2 4/11

Answer 1

To subtract the mixed numbers \(-4 \frac{5}{11}\) and \(2 \frac{4}{11}\), we can first convert them into improper fractions.

1. Convert \(-4 \frac{5}{11}\) to an improper fraction:
\[
-4 \frac{5}{11} = -\left(4 \cdot 11 + 5\right)/11 = -\left(44 + 5\right)/11 = -\frac{49}{11}
\]

2. Convert \(2 \frac{4}{11}\) to an improper fraction:
\[
2 \frac{4}{11} = 2 \cdot 11 + 4/11 = (22 + 4)/11 = \frac{26}{11}
\]

Now we can perform the subtraction:
\[
-\frac{49}{11} - \frac{26}{11} = -\left(\frac{49 + 26}{11}\right) = -\frac{75}{11}
\]

Finally, we can convert \(-\frac{75}{11}\) back into a mixed number:
\[
-\frac{75}{11} = -6 \frac{9}{11}
\]
(since \(75 \div 11 = 6\) with a remainder of \(9\)).

Thus, the answer is:
\[
-6 \frac{9}{11}
\]