To solve this expression, we can follow the order of operations, which is parentheses, then multiplication/division (from left to right), and finally addition/subtraction (from left to right).
First, let's evaluate the expression inside the parentheses:
(-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
=(-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)
=(-3) ÷ (3/4) × (2/7) × (-5/16) × (7/5)
Now let's solve the division from left to right:
=-3 ÷ (3/4) × (2/7) × (-5/16) × (7/5)
=(-3) × (4/3) × (2/7) × (-5/16) × (7/5)
Next, let's simplify the multiplication from left to right:
= (-3) × (4/3) × (2/7) × (-5/16) × (7/5)
= -3 × 4 × 2 × (-5) × 7 × (1/3) × (1/16) × (1/5)
= -3 × 4 × 2 × (-5) × 7 × (1/3) × (1/16) × (1/5)
= - 2 × 5 × (this cancels out the 5 and 2)
= -10
Therefore, (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7) simplifies to -10.
(-3)÷(3/4)×(2/7)×(-5/16)÷(5/7)
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