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Multiply. \newline14×45=-\frac{1}{4} \times -\frac{4}{5} = _____

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Q. Multiply. \newline14×45=-\frac{1}{4} \times -\frac{4}{5} = _____
  1. Identify numbers to multiply: Identify the numbers to multiply.\newlineWe have two fractions: 14-\frac{1}{4} and 45-\frac{4}{5}. Since both are negative, the result will be positive because a negative times a negative is a positive.\newlineCalculation: 14×45-\frac{1}{4} \times -\frac{4}{5}
  2. Perform multiplication calculation: Multiply the numerators and the denominators.\newlineMultiply the numerators: 1×4=4-1 \times -4 = 4\newlineMultiply the denominators: 4×5=204 \times 5 = 20\newlineSo, 14×45=420-\frac{1}{4} \times -\frac{4}{5} = \frac{4}{20}
  3. Simplify the fraction: Simplify the fraction. \newline420\frac{4}{20} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 44.\newlineCalculation: 4÷4=14 \div 4 = 1 and 20÷4=520 \div 4 = 5\newlineSo, 420\frac{4}{20} simplifies to 15\frac{1}{5}.

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