(- 3/5) × (5/16) × (7/12) ÷ (- 3/16) × (- 5/7)
Let's simplify the expression step by step.
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
First, let's simplify the multiplication:
(-3/5) × (5/16) = -15/80 = -3/16
Now, the expression becomes:
(-3/16) × (7/12) ÷ (-3/16) × (-5/7)
Next, simplify the division:
(7/12) ÷ (-3/16) = (7/12) × (-16/3) = -112/36 = -28/9
Now the expression is:
(-3/16) × (-28/9) × (-5/7)
Finally, multiply the fractions:
(-3/16) × (-28/9) × (-5/7) = 420/1008
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 84:
420/1008 = (420/84) / (1008/84) = 5/12
Therefore, the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) simplifies to 5/12.