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

(−4)×(7/5)×(−3/4)÷(7/15)

147/75

9

-9

-147/75

1 answer

The solution to the expression (-4) × (7/5) × (-3/4) ÷ (7/15) is -147/75.

To solve this problem, we can apply the properties of operations and rules for multiplying and dividing signed numbers.

First, let's simplify the expression inside the parentheses:

(-4) × (7/5) × (-3/4) ÷ (7/15)
= (-4) × (-3) × (7/5) ÷ (7/15) (multiplication of fractions)
= 12 × (7/5) ÷ (7/15) (multiplication of signed numbers)
= (12 × 7) / (5 × 7) ÷ (7/15) (multiplication of fractions)
= 84 / 35 ÷ (7/15)
= 84 / 35 × (15/7) (division of fractions)
= (84 × 15) / (35 × 7) (multiplication of fractions)

Now, we can simplify this expression further:

= 1260 / 245
= 252 / 49
= 36 / 7

Therefore, the solution to the expression (-4) × (7/5) × (-3/4) ÷ (7/15) is -147/75.