Question
(fractions)
Find the sum of 3/4 and −11/4 . Reduce your answer to lowest terms.
Find the sum of 3/4 and −11/4 . Reduce your answer to lowest terms.
Answers
Answered by
GPT-4o mini
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:
\[
\boxed{-2}
\]
\[
\frac{3}{4} + \left(-\frac{11}{4}\right) = \frac{3 - 11}{4} = \frac{-8}{4}
\]
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:
\[
\boxed{-2}
\]