4(6) + \frac{8}{3} = 24 + \frac{8}{3} = \frac{72+8}{3} = \frac{80}{3} \approx 26.67 > 25

["Simplifying an Algebraic Equation: Proving 4(6) + 8/3 = 24 + 8/3 ≈ 26.67, Greater Than 25", "Understanding and simplifying mathematical equations is a fundamental skill in algebra and everyday math. Today, we’ll walk through a clear, step-by-step breakdown of the expression:", "4(6) + \frac{8}{3} = 24 + \frac{8}{3} = \frac{72 + 8}{3} = \frac{80}{3} ≈ 26.67 > 25", "---", "### Step 1: Evaluate the Multiplication\nThe expression begins with 4(6).\nMultiplying 4 by 6 gives:\n[\n4 \ imes 6 = 24\n]", "So, the left-hand side becomes:\n[\n4(6) + \frac{8}{3} = 24 + \frac{8}{3}\n]", "---", "### Step 2: Keep the Fraction Separate\nSince 24 is not a fraction, it’s best to combine it with (\frac{8}{3}) by expressing 24 as a fraction with denominator 3:\n[\n24 = \frac{72}{3}\n]", "Now rewrite the left-hand side:\n[\n\frac{72}{3} + \frac{8}{3} = \frac{72 + 8}{3} = \frac{80}{3}\n]", "---", "### Step 3: Convert to Decimal for Clarity\nTo understand the magnitude, convert (\frac{80}{3}) to a decimal:\n[\n\frac{80}{3} \approx 26.67\n]", "---", "### Step 4: Compare to 25\nNow compare the result to 25:\n[\n26.67 > 25\n]\nThis confirms the inequality holds true.", "---", "### Why This Matters\nEven a simple expression like (4(6) + \frac{8}{3}) demonstrates key algebraic principles:\n- Order of Operations: Always perform multiplication before addition.\n- Common Denominator: Combining fractions requires a shared denominator.\n- Accuracy Through Conversion: Converting improper fractions to decimals helps visualize values.", "Because (\frac{80}{3} \approx 26.67) is clearly above 25, we confirm:\n[\n4(6) + \frac{8}{3} = 24 + \frac{8}{3} = \frac{80}{3} \approx 26.67 > 25\n]", "Conclusion: Simplifying the equation step-by-step not only verifies correctness but also builds confidence in solving more complex expressions. Remember, even basic calculations offer insights into mathematical relationships and practical estimation.", "---", "Keywords: algebra simplification, fractional arithmetic, summing fractions, converting mixed expressions, mathematical proof, decimal comparison, equation solving.\nMeta Description: Learn how to simplify (4(6) + \frac{8}{3}) step-by-step, verify it equals (\frac{80}{3} \approx 26.67), and see why it’s greater than 25. Perfect for students and math enthusiasts.", "---", "Understanding math starts with breaking it down — master these steps to build stronger problem-solving skills."]