Question

Use the properties of operations and rules for multiplying and dividing signed numbers to solve:

(−4)×(7/5)×(−3/4)÷(7/15)


(1 point)
Responses

−9
negative 9

−14775
negative Start Fraction 147 over 75 End Fraction

14775
Start Fraction 147 over 75 End Fraction

9

Answer 1

To solve the expression \((−4)×(7/5)×(−3/4)÷(7/15)\), we can follow these steps:

1. **Multiply the first two numbers:**
\[
(−4) × (7/5) = \frac{−4 × 7}{5} = \frac{−28}{5}
\]

2. **Multiply the result by the next number:**
\[
\frac{−28}{5} × (−3/4) = \frac{−28 × (−3)}{5 × 4} = \frac{84}{20}
\]

3. **Simplify \(\frac{84}{20}\):**
\[
\frac{84}{20} = \frac{21}{5} \quad \text{(dividing both the numerator and denominator by 4)}
\]

4. **Now divide by \((7/15)\):**
\[
\frac{21}{5} ÷ \frac{7}{15} = \frac{21}{5} × \frac{15}{7}
\]

5. **Multiply the fractions:**
\[
= \frac{21 × 15}{5 × 7} = \frac{315}{35}
\]

6. **Simplify \(\frac{315}{35}\):**
\[
= 9
\]

Therefore, the final answer is \(9\).

So, from the options provided, the correct response is:

**9**