Question

( -3)divided (3/4)x(2/7)x(-5/16)divided (5/7)

Answer 1

Dividing fractions involves multiplying the numerator by the reciprocal of the denominator. Let's simplify the expression step by step:

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

Let's start with the division:
(-3) ÷ (3/4) = (-3) × (4/3) = -12/3 = -4

Now, let's continue with the multiplication:
-4 × (2/7) × (-5/16) = -4 × 2 × (-5) / (7 × 16)
= -8 × (-5) / 112
= 40 / 112

Finally, we divide by (5/7):
(40/112) ÷ (5/7) = (40/112) × (7/5)
= (40 × 7) / (112 × 5)
= 280 / 560
= 1/2

So, the result of (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7) is 1/2.