
2 - 4*( 1 1/6 - 2/3) : 1 3/5 =


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To solve this expression, follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right):
First, simplify the expressions inside the parentheses:
- 1 1/6 can be converted to an improper fraction as (6/6 + 1/6) = 7/6.
- 2/3 remains the same.
Now, calculate the expression inside the brackets:
- 4 * (7/6 - 2/3)
Next, perform the subtraction inside the brackets:
- 7/6 - 2/3 = (7/6 - 4/6) = 3/6 = 1/2.
Now, calculate the expression inside the brackets:
- 4 * 1/2 = 2.
Finally, solve the entire expression:
- 2 - 2 divided by (1 3/5).
Convert 1 3/5 to an improper fraction as (5/5 + 3/5) = 8/5.
Now, calculate the expression:
- 2 - (2 / 8/5).
To divide by a fraction, you can multiply by its reciprocal:
- 2 - (2 * 5/8) = 2 - (10/8).
Simplify:
- 2 - (5/4).
Now, to subtract these fractions, they need a common denominator, which is 4:
- (8/4) - (5/4) = 3/4.
So, the final result is:
2 - 3/4 = 8/4 - 3/4 = 5/4.


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