Solving the Expression (5/3 - 1) x (7/2 - 2)
This article will guide you through the steps of solving the mathematical expression (5/3 - 1) x (7/2 - 2). We will break down the problem and use the order of operations (PEMDAS/BODMAS) to arrive at the correct answer.
Understanding PEMDAS/BODMAS
PEMDAS/BODMAS is a mnemonic acronym that helps remember the order of operations in mathematics. It stands for:
Parentheses (or Brackets) Exponents (or Orders) Multiplication and Division (from left to right) Addition and Subtraction (from left to right)
Solving the Expression
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Solve the expressions inside the parentheses:
- (5/3 - 1) = (5/3 - 3/3) = 2/3
- (7/2 - 2) = (7/2 - 4/2) = 3/2
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Multiply the results from step 1:
- (2/3) x (3/2) = 6/6
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Simplify the final answer:
- 6/6 = 1