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Evaluate the expression.\newline25÷23+12\frac{2}{5} \div \frac{2}{3} + \frac{1}{2}\newlineWrite your answer as a fraction or as a whole or mixed number.\newline______

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Q. Evaluate the expression.\newline25÷23+12\frac{2}{5} \div \frac{2}{3} + \frac{1}{2}\newlineWrite your answer as a fraction or as a whole or mixed number.\newline______
  1. Convert to multiplication: Step 11: Convert the division of fractions to multiplication by using the reciprocal of the divisor.\newlineCalculation: 25÷23=25×32 \frac{2}{5} \div \frac{2}{3} = \frac{2}{5} \times \frac{3}{2}
  2. Multiply numerators and denominators: Step 22: Multiply the numerators and the denominators.\newlineCalculation: 2×35×2=610 \frac{2 \times 3}{5 \times 2} = \frac{6}{10}
  3. Simplify the fraction: Step 33: Simplify the fraction obtained from the multiplication.\newlineCalculation: 610=35 \frac{6}{10} = \frac{3}{5}
  4. Add to 11/22: Step 44: Add the result from Step 33 to 12 \frac{1}{2} .\newlineCalculation: 35+12 \frac{3}{5} + \frac{1}{2}
  5. Find common denominator: Step 55: Find a common denominator to add the fractions.\newlineCalculation: Common denominator of 55 and 22 is 1010.\newline35=610 \frac{3}{5} = \frac{6}{10} and 12=510 \frac{1}{2} = \frac{5}{10}
  6. Add fractions: Step 66: Add the fractions.\newlineCalculation: 610+510=1110 \frac{6}{10} + \frac{5}{10} = \frac{11}{10}