To solve this expression, we can follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
First, let's simplify the expression inside the parentheses:
(-3) ÷ (3/4) x (2/7) x (-5/16) ÷ (5/7)
= -3 ÷ (3/4) x (2/7) x (-5/16) ÷ (5/7)
Next, let's divide -3 by (3/4):
-3 ÷ (3/4) = -3 x (4/3) = -12/3 = -4
Now, let's multiply the remaining fractions:
-4 x (2/7) x (-5/16) ÷ (5/7)
= -4 x 2/7 x (-5/16) ÷ (5/7)
= -8/7 x (-5/16) ÷ (5/7)
Next, let's divide the fractions:
-8/7 x (-5/16) = (-8 x -5) / (7 x 16) = 40/1120 = 1/28
Finally, let's divide 1/28 by (5/7):
1/28 ÷ (5/7) = 1/28 x (7/5) = (1 x 7) / (28 x 5) = 7/140 = 1/20
Therefore, (-3) ÷ (3/4) x (2/7) x (-5/16) ÷ (5/7) = 1/20
(-3) ÷ (3/4) x (2/7)x(-5/16) ÷ (5/7)Use the properties of operations and rules for multiplying and dividing to solve:
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