(fractions)

Find the sum of 3/4 and −11/4 . Reduce your answer to lowest terms.

1 answer

To find the sum of \(\frac{3}{4}\) and \(-\frac{11}{4}\), we can simply add the two fractions since they have a common denominator:

\[ \frac{3}{4} + \left(-\frac{11}{4}\right) = \frac{3 - 11}{4} = \frac{-8}{4} \]

Now, we can simplify \(\frac{-8}{4}\):

\[ \frac{-8}{4} = -2 \]

Thus, the sum of \(\frac{3}{4}\) and \(-\frac{11}{4}\) is \(-2\). This answer is already in its lowest terms.

The final answer is:

\[ \boxed{-2} \]

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