To solve (- 3/5)(5/16)(7/12) / (- 3/16) * (- 5/7), we can simplify the expression step by step using the properties of multiplication and division.
First, let's simplify the numerator:
(- 3/5)(5/16)(7/12) = (3*5*7) / (5*16*12) = 105 / 960
Now let's simplify the denominator:
(- 3/16) * (- 5/7) = (3*5) / (16*7) = 15 / 112
Now we can simplify the whole expression:
(105 / 960) / (15 / 112) = (105 / 960) * (112 / 15) = (105 * 112) / (960 * 15) = 11760 / 14400
Finally, we can simplify the fraction:
11760 / 14400 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 240.
11760 / 14400 = (11760 / 240) / (14400 / 240) = 49 / 60
Therefore, (- 3/5)(5/16)(7/12) / (- 3/16) * (- 5/7) simplifies to 49/60.
Use the properties of operations and rules for multiplying and dividing to solve (- 3/5)(5/16)(7/12) / (- 3/16) * (- 5/7)
(1 point)
1 answer