To solve the expression \((−4)×(7/5)×(−3/4)÷(7/15)\), we can follow these steps:
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Multiply the first two numbers: \[ (−4) × (7/5) = \frac{−4 × 7}{5} = \frac{−28}{5} \]
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Multiply the result by the next number: \[ \frac{−28}{5} × (−3/4) = \frac{−28 × (−3)}{5 × 4} = \frac{84}{20} \]
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Simplify \(\frac{84}{20}\): \[ \frac{84}{20} = \frac{21}{5} \quad \text{(dividing both the numerator and denominator by 4)} \]
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Now divide by \((7/15)\): \[ \frac{21}{5} ÷ \frac{7}{15} = \frac{21}{5} × \frac{15}{7} \]
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Multiply the fractions: \[ = \frac{21 × 15}{5 × 7} = \frac{315}{35} \]
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Simplify \(\frac{315}{35}\): \[ = 9 \]
Therefore, the final answer is \(9\).
So, from the options provided, the correct response is:
9
1 answer