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

(-4) x (7/5) x (-3/4) ÷ (7/15)

1 answer

To solve the expression (-4) x (7/5) x (-3/4) ÷ (7/15), let's break it down step by step:

(-4) x (7/5) x (-3/4) ÷ (7/15)

First, we can simplify the multiplication: (-4) x (7/5) = -28/5

Now we have: -28/5 x (-3/4) ÷ (7/15)

Next, let's simplify the second multiplication: -28/5 x (-3/4) = 84/20 = 21/5

Now we have: 21/5 ÷ (7/15)

Dividing by a fraction is the same as multiplying by its reciprocal. So, let's multiply by the reciprocal of 7/15: (15/7)

(21/5) x (15/7) = (21 * 15) / (5 * 7) = 315/35 = 9

Therefore, the expression (-4) x (7/5) x (-3/4) ÷ (7/15) simplifies to 9.