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Simplify the expression: X+42+X3X+\frac{4}{2}+\frac{X}{3}

Full solution

Q. Simplify the expression: X+42+X3X+\frac{4}{2}+\frac{X}{3}
  1. Combine like terms: Combine like terms and simplify the constants:\newlineX+42+X3=X+2+X3X + \frac{4}{2} + \frac{X}{3} = X + 2 + \frac{X}{3}
  2. Find common denominator: Find a common denominator for the terms:\newlineCommon denominator for 11 and 33 is 33.\newline(X×33)+2×33+X3=3X3+63+X3(X \times \frac{3}{3}) + 2 \times \frac{3}{3} + \frac{X}{3} = \frac{3X}{3} + \frac{6}{3} + \frac{X}{3}
  3. Add fractions: Add the fractions:\newline3X3+63+X3=3X+X3+63=4X3+63\frac{3X}{3} + \frac{6}{3} + \frac{X}{3} = \frac{3X + X}{3} + \frac{6}{3} = \frac{4X}{3} + \frac{6}{3}
  4. Simplify expression: Simplify the expression: 4X3+63=(4X+6)3\frac{4X}{3} + \frac{6}{3} = \frac{(4X + 6)}{3}