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which is equivalent to \newline(3xy)/(2x7)(\frac{3x}{y})/(\frac{2x}{7})

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Full solution

Q. which is equivalent to \newline(3xy)/(2x7)(\frac{3x}{y})/(\frac{2x}{7})
  1. Apply Reciprocal Rule: First, remember that dividing by a fraction is the same as multiplying by its reciprocal.\newlineSo, (3x/y)/(2x/7)(3x/y) / (2x/7) is the same as (3x/y)×(7/2x)(3x/y) \times (7/2x).
  2. Multiply Numerators and Denominators: Now, multiply the numerators and denominators separately. (3x×7)/(y×2x)(3x \times 7) / (y \times 2x)
  3. Simplify Multiplication: Simplify the multiplication. 21x2xy\frac{21x}{2xy}
  4. Cancel out Common Factor: Now, we can cancel out the common xx in the numerator and denominator.212y\frac{21}{2y}

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