To find the quotient when dividing \(-\frac{7}{8}\) by \(-1.5\), we can express \(-1.5\) as a fraction.
\[ -1.5 = -\frac{3}{2} \]
Now, dividing by a fraction is the same as multiplying by its reciprocal. Thus, we have:
\[ -\frac{7}{8} \div -\frac{3}{2} = -\frac{7}{8} \times -\frac{2}{3} \]
The negative signs cancel out:
\[ \frac{7}{8} \times \frac{2}{3} = \frac{7 \cdot 2}{8 \cdot 3} = \frac{14}{24} \]
Now we simplify \(\frac{14}{24}\). The greatest common divisor of 14 and 24 is 2:
\[ \frac{14 \div 2}{24 \div 2} = \frac{7}{12} \]
So, the quotient when you divide \(-\frac{7}{8}\) by \(-1.5\) is:
\[ \frac{7}{12} \]
Since this exact answer is not included in your provided response options, please double-check the question or options for any discrepancies.
If I may advise, always ensure the options are accurately reflected in the question setup, as none of the results match \(\frac{7}{12}\).
17 answers