Question

What is the quotient of −163.5 ÷ 1.5
?


What is the quotient of 48.4 ÷−0.8

What is the quotient of −5/8÷−2/3


What is the quotient of −5/9÷1/5? Write the answer as a mixed number

Answer 1

Let's calculate each of the quotients step by step:

1. **Quotient of −163.5 ÷ 1.5:**
\[
-163.5 \div 1.5 = -109
\]

2. **Quotient of 48.4 ÷ −0.8:**
\[
48.4 \div -0.8 = -60.5
\]

3. **Quotient of −5/8 ÷ −2/3:**
Dividing by a fraction is the same as multiplying by its reciprocal:
\[
-\frac{5}{8} \div -\frac{2}{3} = -\frac{5}{8} \times -\frac{3}{2} = \frac{5 \times 3}{8 \times 2} = \frac{15}{16}
\]

4. **Quotient of −5/9 ÷ 1/5:**
Again, we multiply by the reciprocal:
\[
-\frac{5}{9} \div \frac{1}{5} = -\frac{5}{9} \times 5 = -\frac{25}{9}
\]
To convert \(-\frac{25}{9}\) into a mixed number:
- Divide 25 by 9, which is 2 remainder 7.
- So, \(-\frac{25}{9} = -2 \frac{7}{9}\).

To summarize, the answers are:
1. \( -109 \)
2. \( -60.5 \)
3. \( \frac{15}{16} \)
4. \( -2 \frac{7}{9} \)