To divide \(-\frac{7}{8}\) by \(-\frac{1}{5}\), we can rewrite the division of fractions as multiplication by the reciprocal:
\[ -\frac{7}{8} \div -\frac{1}{5} = -\frac{7}{8} \times -5 \]
The negative signs cancel each other out:
\[ -\frac{7}{8} \times -5 = \frac{7}{8} \times 5 = \frac{7 \times 5}{8} = \frac{35}{8} \]
Now, we can convert \(\frac{35}{8}\) into a mixed number:
\[ \frac{35}{8} = 4 \frac{3}{8} \]
Thus, the quotient of \(-\frac{7}{8}\) divided by \(-\frac{1}{5}\) is \(4 \frac{3}{8}\).
Looking at the options you provided:
A. \( -4 \frac{3}{8} \)
B. \( 5 \frac{5}{7} \)
C. \( 740 \)
D. \( 4 \frac{3}{8} \)
The correct answer is: D. \( 4 \frac{3}{8} \).
3 answers