To simplify this expression, we will follow the order of operations:
Step 1: Calculate the division in the numerator first(1 3/7 - 1/3) = (7/7 + 3/7 - 1/3) = 9/7 - 1/3 = (27/21 - 7/21) = 20/21
Step 2: Calculate the multiplication in the numerator next0,8 x 3 3/5 = 0,8 x (18/5) = 0,8 x 3,6 = 2,88
Step 3: Combine both terms in the numerator(20/21 - 2,88) = (20/21 - 60/21) = -40/21
Now we move to the denominator:
Step 4: Calculate the division inside the parenthesis(2,375 - 1/3 + 1 1/12) = 2,375 - 1/3 + 13/12 = 2,375 - 4/12 + 13/12 = 2,375 + 9/12 = 2,375 + 3/4 = 2,375 + 0,75 = 3,125
Step 5: Multiply 3,125 by 0,83,125 x 0,8 = 2,5
Now we divide both results:
(-40/21 ÷ 2,5) = (-40/21 ÷ 2,5) = -16/21
Therefore, the simplified expression is -16/21.
To simplify this expression, we will follow the order of operations:
Step 1: Calculate the division in the numerator first
(1 3/7 - 1/3) = (7/7 + 3/7 - 1/3) = 9/7 - 1/3 = (27/21 - 7/21) = 20/21
Step 2: Calculate the multiplication in the numerator next
0,8 x 3 3/5 = 0,8 x (18/5) = 0,8 x 3,6 = 2,88
Step 3: Combine both terms in the numerator
(20/21 - 2,88) = (20/21 - 60/21) = -40/21
Now we move to the denominator:
Step 4: Calculate the division inside the parenthesis
(2,375 - 1/3 + 1 1/12) = 2,375 - 1/3 + 13/12 = 2,375 - 4/12 + 13/12 = 2,375 + 9/12 = 2,375 + 3/4 = 2,375 + 0,75 = 3,125
Step 5: Multiply 3,125 by 0,8
3,125 x 0,8 = 2,5
Now we divide both results:
(-40/21 ÷ 2,5) = (-40/21 ÷ 2,5) = -16/21
Therefore, the simplified expression is -16/21.