use the properties of operations and rules for multiplying and dividing signed numbers to solve (-4) times (7/5) times (-3/4) divided by (7/15)

1 answer

First, let's simplify the given expression step by step using the properties of operations and rules for multiplying and dividing signed numbers.

(-4) times (7/5) times (-3/4) divided by (7/15)

Multiplying:
(-4) * (7/5) equals -28/5

(-28/5) * (-3/4) equals 84/20

Dividing:
84/20 divided by (7/15) can be rewritten as 84/20 multiplied by (15/7)

Multiplying fractions:
84/20 multiplied by 15/7 equals 1260/140

Simplifying:
1260/140 can be reduced to 9/1 (dividing both 1260 and 140 by their greatest common divisor which is 140)

Therefore, (-4) times (7/5) times (-3/4) divided by (7/15) equals 9/1 or simply 9.