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

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(−4)×(7/5)×(−3/4)÷(7/15)

1 answer

To solve this expression, we can simplify step-by-step using the properties of operations and rules for multiplying and dividing signed numbers.

First, let's simplify the multiplication:

(-4) × (7/5) × (-3/4) = (-4) × (-3) × (7/5) × (1/4)
= 12 × (7/5) × (1/4) [Since (-4) × (-3) = 12]
= (12 × 7 × 1) / (5 × 4)
= 84 / 20
= 4.2

Next, let's simplify the division:

4.2 ÷ (7/15) = 4.2 × (15/7) [Since division is equivalent to multiplication by the reciprocal]
= (4.2 × 15) / 7
= 63 / 7
= 9

Therefore, the solution to the expression (-4) × (7/5) × (-3/4) ÷ (7/15) is 9.