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Divide. Simplify your answer. \newline13hj14hj÷2h\frac{13hj}{14hj} \div 2h

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Full solution

Q. Divide. Simplify your answer. \newline13hj14hj÷2h\frac{13hj}{14hj} \div 2h
  1. Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, (13hj/14hj)÷2h=(13hj/14hj)×(1/2h)(13hj/14hj) \div 2h = (13hj/14hj) \times (1/2h).
  2. Simplify fraction: Before multiplying, simplify the fraction 13hj14hj\frac{13hj}{14hj} by canceling out the common factors. Both the numerator and the denominator have hjhj, so they can be canceled out. This gives us 1314.\frac{13}{14}.
  3. Multiply by reciprocal: Now multiply the simplified fraction from Step 22 by the reciprocal of 2h2h, which is 12h\frac{1}{2h}. So, 1314×12h=1314×2h\frac{13}{14} \times \frac{1}{2h} = \frac{13}{14\times2h}.
  4. Multiply denominators: Multiply the denominators. So, 14×2h=28h14\times2h = 28h.
  5. Final answer: Write the final answer in the simplest form. So, 1314×2h=1328h.\frac{13}{14\times 2h} = \frac{13}{28h}.

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