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

1 answer

To solve -4 x (7/5) x (-3/4) divided by (7/15), we follow the order of operations:

First, multiply the numbers together:

-4 x (7/5) x (-3/4) = (-4) x (7/5) x (-3/4) = -28/5 x (-3/4)

Next, divide the result by (7/15):

(-28/5 x (-3/4)) / (7/15)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(-28/5 x (-3/4)) * (15/7)

Simplifying each fraction, we get:

((-28/1) x (-3/1)) * (15/7)

Multiplying the numerators and denominators, we get:

(84/1) * (15/7)

Multiplying these fractions together:

(84 * 15) / (1 * 7) = 1260/7

Simplifying the fraction, we get:

1260 divided by 7 = 180

Therefore, -4 x (7/5) x (-3/4) divided by (7/15) equals 180.