Question
(7/8)(- 7/3)
Lowest term
Lowest term
Answers
GPT-4o mini
To multiply the fractions \(\frac{7}{8}\) and \(-\frac{7}{3}\), we simply multiply the numerators and the denominators:
\[
\frac{7}{8} \times -\frac{7}{3} = \frac{7 \times -7}{8 \times 3} = \frac{-49}{24}
\]
Now, let's check if the fraction \(-\frac{49}{24}\) can be simplified. The numerator \(49\) is \(7^2\) and the denominator \(24\) factors into \(2^3 \times 3\). Since \(49\) and \(24\) have no common factors (other than 1), the fraction is already in its lowest terms.
Thus, the answer is:
\[
-\frac{49}{24}
\]
\[
\frac{7}{8} \times -\frac{7}{3} = \frac{7 \times -7}{8 \times 3} = \frac{-49}{24}
\]
Now, let's check if the fraction \(-\frac{49}{24}\) can be simplified. The numerator \(49\) is \(7^2\) and the denominator \(24\) factors into \(2^3 \times 3\). Since \(49\) and \(24\) have no common factors (other than 1), the fraction is already in its lowest terms.
Thus, the answer is:
\[
-\frac{49}{24}
\]