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As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 27 Second number: 15 27*◻=15

As a fraction in simplest terms, what would you multiply the first number by to get the second?\newlineFirst number: 2727 Second number: 1515\newline27⋅□=15 27 \cdot \square=15

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Full solution

Q. As a fraction in simplest terms, what would you multiply the first number by to get the second?\newlineFirst number: 2727 Second number: 1515\newline27⋅□=15 27 \cdot \square=15
  1. Identify Operation: Identify the operation needed to find the fraction.\newlineTo find the fraction that you would multiply by 2727 to get 1515, you need to divide 1515 by 2727.\newlineCalculation: 15÷2715 \div 27
  2. Calculate Division: Simplify the fraction.\newlineDivide both the numerator 1515 and the denominator 2727 by their greatest common divisor (GCD). The GCD of 1515 and 2727 is 33.\newlineCalculation: (15÷3)/(27÷3)=5/9(15 \div 3) / (27 \div 3) = 5 / 9
  3. Simplify Fraction: Check the result.\newlineMultiplying the simplified fraction by the first number should give the second number.\newlineCalculation: 27×(59)=(279)×5=3×5=1527 \times \left(\frac{5}{9}\right) = \left(\frac{27}{9}\right) \times 5 = 3 \times 5 = 15

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