HELP PLSSSSS
use the properties of operations and rules for multiplying and dividing to solve:
(-3/5) x (5/16) x (7/12) ➗ (-3/16) x (-5/7)
To solve the expression (-3/5) x (5/16) x (7/12) ➗ (-3/16) x (-5/7), we will start by simplifying each fraction individually and then perform the multiplication and division.
First, let's simplify each fraction.
(-3/5) = (-3) ÷ 5 = -3/5
(5/16) = 5 ÷ 16 = 5/16
(7/12) = 7 ÷ 12 (no further simplification is possible)
(-3/16) = -3 ÷ 16 = -3/16
(-5/7) = -5 ÷ 7 = -5/7
Now we can substitute the simplified fractions into the expression:
(-3/5) x (5/16) x (7/12) ➗ (-3/16) x (-5/7)
(-3/5) x (5/16) x (7/12) = -3/5 x 5/16 x 7/12
(-3/16) x (-5/7) = -3/16 x -5/7
Next, let's multiply the fractions:
(-3/5) x (5/16) x (7/12) = ((-3) x 5 x 7) ÷ (5 x 16 x 12)
(-3/16) x (-5/7) = ((-3) x (-5)) ÷ (16 x 7)
Simplifying further:
((-3) x 5 x 7) ÷ (5 x 16 x 12) = (-21) ÷ (5 x 16 x 12)
((-3) x (-5)) ÷ (16 x 7) = 15 ÷ (16 x 7)
Now, we perform the division:
(-21) ÷ (5 x 16 x 12) = -21 ÷ 960
15 ÷ (16 x 7) = 15 ÷ 112
Finally, we simplify the divisions:
-21 ÷ 960 = -7/320
15 ÷ 112 = 15/112
Therefore, the final simplified expression is:
(-7/320) ➗ (15/112)
To solve the expression (-3/5) x (5/16) x (7/12) ÷ (-3/16) x (-5/7), we can follow the order of operations.
First, let's simplify the multiplication: (-3/5) x (5/16) x (7/12) = -105/600.
Now let's simplify the multiplication on the right side: (-3/16) x (-5/7) = 15/112.
Now, let's divide (-105/600) ÷ (15/112). To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(-105/600) ÷ (15/112) = (-105/600) x (112/15).
To simplify this expression, let's find the greatest common divisor (GCD) of 105 and 600, which is 15.
We can divide both the numerator and denominator of (-105/600) by 15 and simplify further:
(-105/600) x (112/15)
= (-7/40) x (112/15)
= (-7/5) x (8/1)
= -56/5.
Therefore, the expression (-3/5) x (5/16) x (7/12) ÷ (-3/16) x (-5/7) simplifies to -56/5.