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Evaluate: 410×610\frac{4}{10}\times\frac{6}{10}

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Q. Evaluate: 410×610\frac{4}{10}\times\frac{6}{10}
  1. Identify Operation: Identify the operation to be performed.\newlineWe need to multiply two fractions: (410)(\frac{4}{10}) and (610)(\frac{6}{10}).
  2. Multiply Numerators: Multiply the numerators of the fractions.\newlineMultiply 44 by 66 to get the numerator of the result.\newline4×6=244 \times 6 = 24
  3. Multiply Denominators: Multiply the denominators of the fractions.\newlineMultiply 1010 by 1010 to get the denominator of the result.\newline10×10=10010 \times 10 = 100
  4. Write Result as Fraction: Write the result as a fraction.\newlineThe product of the two fractions is (24100)(\frac{24}{100}).
  5. Simplify Fraction: Simplify the fraction if possible.\newlineBoth the numerator and the denominator are divisible by 44.\newline24÷4=624 \div 4 = 6\newline100÷4=25100 \div 4 = 25
  6. Write Simplified Fraction: Write the simplified fraction.\newlineThe simplified fraction is (625)(\frac{6}{25}).

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