Then $ b = 2 - 3 \cdot \frac{4}{3} = 2 - 4 = -2 $

["Breaking Down the Calculation: $ b = 2 - 3 \cdot \frac{4}{3} = 2 - 4 = -2 $", "Math can sometimes look simple at first glance, but behind the numbers often lies a clear journey through basic arithmetic rules. In this article, we explore the calculation $ b = 2 - 3 \cdot \frac{4}{3} = 2 - 4 = -2 $, explaining how fractions, multiplication, and order of operations shape the final result.", "### Understanding the Expression", "The expression $ b = 2 - 3 \cdot \frac{4}{3} $ combines addition and subtraction with multiplication. To evaluate this correctly, it’s essential to follow the order of operations, famously summarized by PEMDAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).", "### Step-by-Step Breakdown", "1. Multiplication First:\n We begin with $ 3 \cdot \frac{4}{3} $.\n Here, multiplication takes priority:\n $ 3 \cdot \frac{4}{3} = \frac{3 \ imes 4}{3} = \frac{12}{3} = 4 $\n Notice: $ \frac{3}{3} = 1 $, so $ 3 \cdot \frac{4}{3} = 4 $, not 3 × 4 = 12.", "2. Substitute Back Into the Equation:\n Now replace the term in the original equation:\n $ b = 2 - 4 $", "3. Final Subtraction:\n $ 2 - 4 = -2 $", "### Why the Result Is Negative", "This calculation illustrates a common misconception: treating multiplication and division independently of addition and subtraction. While $ 3 \cdot \frac{4}{3} $ simplifies to 4 due to cancellation ($ \cancel{3} \ imes 4 / \cancel{3} = 4 $), the result is still subtracted from 2. Since subtracting a larger number (4) from a smaller number (2) yields a negative result, $ b = -2 $.", "### Practical Implications", "Understanding how such calculations are evaluated helps both students and professionals avoid errors in financial modeling, engineering, and everyday math. Accurate application of operation order ensures consistency in computational results across algorithms and manual computations.", "### Conclusion", "The expression $ b = 2 - 3 \cdot \frac{4}{3} = 2 - 4 = -2 $ demonstrates that algebraic simplification does not override PEMDAS rules. Teaching and remembering this standard helps build a strong foundation in mathematics—whether solving equations, interpreting data, or programming logic.", "---", "Key SEO keywords:\n- Calculation steps explained\n- Order of operations\n- $ b = 2 - 3 \cdot \frac{4}{3} $\n- Math problem solving\n- Arithmetic rules\n- Fractions and multiplication\n- Subtraction with negative result", "Meta Description:\nLearn how to accurately solve $ b = 2 - 3 \cdot \frac{4}{3} $ by following correct order of operations. Understand why the result equals -2 and how to avoid common math mistakes."]