Let's break this down step by step:
First, we will simplify the expression within the parentheses(7/18 + 2/27) = (73 + 22) / (18*3) = (21 + 4) / 54 = 25 / 54
Next, simplify the overall expression1/6 + (25/54)/5/9 + 3/11 * 2, 1/5
Simplify (25/54)/5/9(25/54) / (5/9) = (25/54) * (9/5) = 225 / 270 = 15 / 18 = 5 / 6
Now, the expression becomes1/6 + 5/6 + 3/11 * 2, 1/5
Simplify1/6 + 5/6 = 6/6 = 1 + 3/11 * 2, 1/5
Now, simplify 3/11 2(3/11) 2 = 6/11
The final expression is1 + 6/11 = 11/11 + 6/11 = 17/11
So, the final answer is 17/11 or approximately 1.54.
Let's break this down step by step:
First, we will simplify the expression within the parentheses
(7/18 + 2/27) = (73 + 22) / (18*3) = (21 + 4) / 54 = 25 / 54
Next, simplify the overall expression
1/6 + (25/54)/5/9 + 3/11 * 2, 1/5
Simplify (25/54)/5/9
(25/54) / (5/9) = (25/54) * (9/5) = 225 / 270 = 15 / 18 = 5 / 6
Now, the expression becomes
1/6 + 5/6 + 3/11 * 2, 1/5
Simplify
1/6 + 5/6 = 6/6 =
1 + 3/11 * 2, 1/5
Now, simplify 3/11 2
(3/11) 2 = 6/11
The final expression is
1 + 6/11 = 11/11 + 6/11 = 17/11
So, the final answer is 17/11 or approximately 1.54.