(−3/5)×(5 1/6)×(71/2)÷(−3 1/6)×(−5/7)

Answer 1

Multiplying the fractions:

(-3/5) × (5 1/6) = (-3/5) × (31/6) = -93/30

Converting the mixed number to an improper fraction:

-3 1/6 = -((3 × 6) + 1)/6 = -19/6

Therefore, we have:

(-3/5) × (5 1/6) × (71/2) ÷ (-3 1/6) × (-5/7) = (-93/30) × (71/2) ÷ (-19/6) × (-5/7)

Now, we can cancel out common factors:

(-93/30) × (71/2) ÷ (-19/6) × (-5/7) = (-31/10) × (71/1) ÷ (19/6) × (-5/1)
= (-31/10) × (71/1) × (6/19) × (-5/1)
= (-31 × 71 × 6 × -5) / (10 × 1 × 19 × 1)
= (-7815 × 6 × -5) / 190
= (234450) / 190
= 1231.84210526

So, (-3/5)×(5 1/6)×(71/2)÷(-3 1/6)×(-5/7) is approximately 1231.84210526.