Use properties of operations and rules for multiplying and dividing signed numbers to solve: (-4) × (7/5) × (- 3/4) ÷ (7/15)

1 answer

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

(-4) is a negative number, (7/5) is a positive number, (-3/4) is a negative number, and (7/15) is a positive number.

We can begin by multiplying the numbers together:
(-4) × (7/5) × (-3/4) ÷ (7/15)

Multiplying the integers:
= (-4) × (7) × (-3) ÷ (7/15)

Multiplying the fractions:
= (-4) × (7) × (-3) × (15/7)

Simplifying the multiplication:
= (-4) × (-3) × (15)

Multiplying the negative numbers:
= 12 × 15

= 180

Therefore, (-4) × (7/5) × (-3/4) ÷ (7/15) = 180.