To divide \(-2 \frac{3}{5}\) by \(\frac{4}{5}\), first convert \(-2 \frac{3}{5}\) to an improper fraction.
-
Convert \(-2 \frac{3}{5}\) to an improper fraction: \[ -2 \frac{3}{5} = -\left(2 \times 5 + 3\right)/5 = -\left(10 + 3\right)/5 = -\frac{13}{5} \]
-
Now divide \(-\frac{13}{5}\) by \(\frac{4}{5}\): \[ -\frac{13}{5} \div \frac{4}{5} \] To divide by a fraction, multiply by its reciprocal: \[ -\frac{13}{5} \times \frac{5}{4} \]
-
Multiply the fractions: \[ = -\frac{13 \times 5}{5 \times 4} = -\frac{65}{20} \]
-
Simplify \(-\frac{65}{20}\): The numerator and denominator can both be divided by 5: \[ -\frac{65 \div 5}{20 \div 5} = -\frac{13}{4} \]
So, the quotient when you divide \(-2 \frac{3}{5}\) by \(\frac{4}{5}\) is \(-\frac{13}{4}\).
3 answers