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Multiply. \newline13×34=\frac{1}{3}\times\frac{3}{4}=_____

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Q. Multiply. \newline13×34=\frac{1}{3}\times\frac{3}{4}=_____
  1. Identify operation: Identify the multiplication operation.\newlineWe are asked to multiply two fractions: 13\frac{1}{3} and 34\frac{3}{4}.
  2. Multiply numerators: Multiply the numerators.\newlineMultiply the numerators (top numbers) of the fractions together: 1×3=31 \times 3 = 3.
  3. Multiply denominators: Multiply the denominators.\newlineMultiply the denominators (bottom numbers) of the fractions together: 3×4=123 \times 4 = 12.
  4. Write down result: Write down the result of the multiplication.\newlineThe result of multiplying the two fractions is the fraction formed by the new numerator and the new denominator: 312\frac{3}{12}.
  5. Simplify fraction: Simplify the fraction if possible.\newlineThe fraction 312\frac{3}{12} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 33.\newline3÷3=13 \div 3 = 1 and 12÷3=412 \div 3 = 4, so the simplified fraction is 14\frac{1}{4}.

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