Solving the Expression (4-4/5) (9+1/3)
This article will guide you through the steps of solving the mathematical expression (4-4/5) (9+1/3).
Understanding Order of Operations
Before we begin, it's important to remember the order of operations, often remembered by the acronym PEMDAS or BODMAS. This tells us the order in which operations should be performed:
- Parentheses (or Brackets)
- Exponents (or Orders)
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Step-by-Step Solution
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Simplify the expressions inside the parentheses:
- (4-4/5): Divide 4 by 5, which gives you 0.8. Then subtract 0.8 from 4, resulting in 3.2.
- (9+1/3): Divide 1 by 3, which gives you 0.3333 (approximately). Then add 0.3333 to 9, resulting in 9.3333 (approximately).
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Multiply the results:
- Now we have (3.2) * (9.3333).
- Multiplying these two numbers gives us approximately 29.8666.
Final Answer
Therefore, the solution to the expression (4-4/5) (9+1/3) is approximately 29.8666.