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Multiply. Simplify your answer.\newline2k19k×4jk\frac{2k}{19k} \times 4jk

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Full solution

Q. Multiply. Simplify your answer.\newline2k19k×4jk\frac{2k}{19k} \times 4jk
  1. Rewrite Multiplication: Rewrite the multiplication of the two fractions. \newlineCalculation: (2k19k)×(4jk)=(2k×4jk)19k(\frac{2k}{19k}) \times (4jk) = \frac{(2k \times 4jk)}{19k}.
  2. Simplify Numerator: Simplify the numerator by multiplying the constants and combining the variables.\newlineCalculation: 2k×4jk=8jk22k \times 4jk = 8jk^2.
  3. Simplify Denominator: Simplify the denominator by recognizing that 19k19k is already in its simplest form.\newlineCalculation: No change, the denominator remains 19k19k.
  4. Reduce Fraction: Reduce the fraction by canceling out the common factor kk from the numerator and the denominator.\newlineCalculation: (8jk2)/(19k)=(8j⋅k⋅k)/(19⋅k)=8j⋅k19(8jk^2) / (19k) = (8j \cdot k \cdot k) / (19 \cdot k) = \frac{8j \cdot k}{19}.
  5. Write Final Expression: Write the final simplified expression.\newlineCalculation: The final simplified expression is 8jk19\frac{8jk}{19}.

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