Use the properties of operations and rules for multiplying and dividing to solve (-3) divided by (3/4)x (2/7)x (-5/16) divide by (5/7)

Answer 1

To solve the expression (-3) divided by (3/4)x (2/7)x (-5/16) divide by (5/7), we can simplify each component step by step:

First, let's multiply the numerator and denominator of the fraction (3/4) by the whole number (-3):
(-3) divided by (3/4) becomes (-3)*(-4/3) = 12/3.

Next, let's multiply the resulting fraction (12/3) by the fraction (2/7):
(12/3) times (2/7) becomes (12*2)/(3*7) = 24/21.

Now, let's multiply the resulting fraction (24/21) by the fraction (-5/16):
(24/21) times (-5/16) becomes (24*(-5))/(21*16) = -120/336.

Finally, let's divide the resulting fraction (-120/336) by the fraction (5/7):
(-120/336) divided by (5/7) becomes (-120/336)*(7/5) = (-120*7)/(336*5) = -840/1680.

Now, we can simplify the fraction (-840/1680) by dividing both the numerator and denominator by their greatest common divisor, which is 840:
-840/1680 can be simplified to -1/2.

So, the solution to the expression (-3) divided by (3/4)x (2/7)x (-5/16) divide by (5/7) is -1/2.