To simplify the given expression, we perform the calculations in the following order:
1. First, we divide -3 by 3/4:
(-3) ÷ (3/4) = -3 * (4/3) = -12/3 = -4
2. Next, we multiply -4 by 2/7:
-4 * (2/7) = -8/7
3. We then multiply -8/7 by -5 1/6:
(-8/7) * (-5 1/6) = -8/7 * (-31/6) = (8/7) * (31/6) = (8 * 31) / (7 * 6) = 248/42 = 124/21
4. Finally, we divide 124/21 by 5/7:
(124/21) ÷ (5/7) = (124/21) * (7/5) = (124 * 7) / (21 * 5) = 868/105
So, the expression (−3)÷(3/4)×(2/7)×(−5 1/6)÷(5/7) simplifies to 868/105.
(−3)÷(3/4)×(2/7)×(−5 1/6)÷(5/7)
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