Question

-6 1/5:(3 2/5-1 1/3) -3 2/3 * 1 1/2-1 2/3*1 1/2

Answer 1

А) -6 1/5 / (3 2/5-1 1/3)
     1) 3 2/5-1 1/3=3 6/15-1 5/15= 2 1/15=31/15
     2) -6 1/5 / 31/15= -31/5 / 31/15 -31/5*15/31=-3

 в) -3 2/3*1 1/2-1 2/3*1 1/2
    1) -3 2/3* 1 1/2=-11/9*3/2=-11/6
    2) 1 2/3* 1 1/2=6/3*3/2=3
    3) -11/6-3=-1 5/6-3=-4 5/6
    

Answer 2

To solve the given expression, let's break it down step by step:

1. Convert mixed numbers to improper fractions: -6 1/5 = -31/5 3 2/5 = 17/5 1 1/3 = 4/3 -3 2/3 = -11/3 1 1/2 = 3/2 1 2/3 = 5/3

2. Simplify the expression: -31/5 : (17/5 - 4/3) - (-11/3 * 3/2) - (5/3 * 3/2)

3. Calculate the inner operations first: -31/5 : (17/5 - 4/3) = -31/5 : (51/15 - 20/15) = -31/5 : 31/15 = -31/5 * 15/31 = -3

   -11/3 * 3/2 = -11/2

   5/3 * 3/2 = 5/2

4. Substitute the results back into the main expression: -3 - (-3) - (-11/2) - (5/2)

5. Calculate the remaining operations: -3 + 3 + 11/2 - 5/2 = 0 + 11/2 - 5/2 = 6/2 = 3

So, the value of the expression is 3.