Final answer:
Simplify the expression 12/7 * 3 + 5/14 ÷ 6/7 - 4/3 by following the order of operations (PEMDAS/BODMAS). This gives a simplified result of 373/84.
Step-by-step explanation:
In such questions, we need to strictly follow the order of operations, which is often remembered as 'PEMDAS/BODMAS', standing for Parenthesis/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Using this order of operations: First, do the multiplication and division from left to right:
(12/7) * 3 = 36/7
And, (5/14) ÷ (6/7) = 5/12.
So, the original expression is now (36/7) + (5/12) - (4/3).
Adding and subtracting from left to right, you get:
(36/7) + (5/12) = 433/84,
Finally, (433/84) - (4/3) = 373/84.
Hence, the simplified expression is 373/84
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