(1/6-(-1/9))*(-2)

Jasonbradley

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Jun 16, 2024

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Solving the Expression: (1/6 - (-1/9)) * (-2)

This article will guide you through solving the expression (1/6 - (-1/9)) * (-2) step-by-step.

Understanding Order of Operations

Before we begin, remember the order of operations, often remembered by the acronym PEMDAS or BODMAS:

• Parentheses (or Brackets)
• Exponents (or Orders)
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

Solving the Expression

1. Simplify the parentheses:

   • Start by simplifying the expression inside the parentheses: (1/6 - (-1/9)).
   • Subtracting a negative number is the same as adding its positive counterpart. So, (1/6 - (-1/9)) becomes (1/6 + 1/9).
   • To add fractions, we need a common denominator. The least common denominator for 6 and 9 is 18.
   • (1/6 + 1/9) = (3/18 + 2/18) = 5/18

2. Multiply by -2:

   • Now we have (5/18) * (-2).
   • Multiplying a fraction by a whole number is the same as multiplying the numerator by that number.
   • (5/18) * (-2) = -10/18

3. Simplify the result:

   • Finally, simplify the fraction -10/18. Both the numerator and denominator are divisible by 2.
   • -10/18 = -5/9

Conclusion

Therefore, the solution to the expression (1/6 - (-1/9)) * (-2) is -5/9.