Question

(-3)÷(3/4)times (2/7) times(-5/16)÷5/7)

Answer 1

Starting from the given expression:

(-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7)

First, simplify the division by multiplying by the reciprocal:

(-3) × (4/3) × (2/7) × (-5/16) × (7/5)

Now, simplify the multiplication:

(-3/1) × (4/3) × (2/7) × (-5/16) × (7/5)

Multiply the numerators together and the denominators together:

(-3 × 4 × 2 × -5 × 7) / (1 × 3 × 7 × 16 × 5)

Simplify:

(-840) / (1680)

Simplify further by dividing both the numerator and denominator by their greatest common factor, which is 840:

-1/2

So, the final answer is -1/2.