Question

1. $6 \div 3$
2. $-45 \div 9$
3. $-2\frac{1}{5} \div \frac{-6}{5}$

Explanation:

Step1: Solve \(6\div3\)

Division of positive numbers: \(6\div3 = 2\)

Step2: Solve \(-45\div9\)

Division of a negative and positive number: \(-45\div9=-5\)

Step3: Solve \(-2\frac{1}{5}\div\frac{-6}{5}\)

First, convert the mixed number to an improper fraction: \(-2\frac{1}{5}=-\frac{11}{5}\)
Then, divide by multiplying by the reciprocal: \(-\frac{11}{5}\div\frac{-6}{5}=-\frac{11}{5}\times\frac{5}{-6}=\frac{11}{6}=1\frac{5}{6}\)

Answer:

1. \(2\)
2. \(-5\)
3. \(1\frac{5}{6}\)