To simplify the expression (-3) / 3/4 x 2/7 x -5/16 / 5/7, we can follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction.
First, let's simplify the fraction part first: -3 / 3/4
To divide by a fraction, we invert the divisor and multiply:
-3 ÷ 3/4 = -3 x 4/3
= -12/3
= -4
Now, let's substitute this value back into the expression and continue simplifying: -4 x 2/7 x -5/16 / 5/7
Next step, multiply: -4 x 2/7 = -8/7
Now, we have: -8/7 x -5/16 / 5/7
Invert the divisor and multiply: -8/7 ÷ 5/7 = -8/7 x 7/5
Cancel out the common factors between the numerators and denominators:
(8/1) x (1/5) = 8/5
Therefore, (-3) / 3/4 x 2/7 x -5/16 / 5/7 simplifies to 8/5.
(-3) / 3/4 x 2/7 x -5/16 / 5/7
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