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Let’s check out your problem:

(3)/(4)=(k)/((1)/(2))

34=k12 \frac{3}{4}=\frac{k}{\frac{1}{2}}

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Full solution

Q. 34=k12 \frac{3}{4}=\frac{k}{\frac{1}{2}}
  1. Cross Multiply for k: Cross multiply to solve for k.\newline(3)×(12)=(4)×k(3) \times (\frac{1}{2}) = (4) \times k
  2. Perform Left Side Multiplication: Perform the multiplication on the left side. (32)=(4)⋅k(\frac{3}{2}) = (4) \cdot k
  3. Divide Both Sides for kk: Divide both sides by 44 to solve for kk.32/4=k\frac{3}{2} / 4 = k
  4. Simplify Left Side Division: Simplify the division on the left side. k=32×14k = \frac{3}{2} \times \frac{1}{4}
  5. Multiply the Fractions: Multiply the fractions. k=38k = \frac{3}{8}

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