Divide. Simplify your answer. 13hj/14hj ÷ 2h ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, (13hj/14hj) ÷ 2h = (13hj/14hj) × (1/2h).Simplify fraction: Before multiplying, simplify the fraction 13hj/14hj by canceling out the common factors. Both the numerator and the denominator have hj, so they can be canceled out. This gives us 13/14.Multiply by reciprocal: Now multiply the simplified fraction from Step 2 by the reciprocal of 2h, which is 1/2h. So, (13/14) × (1/2h) = 13/(14×2h).Multiply denominators: Multiply the denominators. So, 14×2h = 28h.Final answer: Write the final answer in the simplest form. So, 13/(14×2h) = 13/(28h).

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Divide. Simplify your answer. $\newline$ $\frac{13hj}{14hj} \div 2h$

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Simplify your answer.

\newline

\frac{13hj}{14hj} \div 2h

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, $(13hj/14hj) \div 2h = (13hj/14hj) \times (1/2h)$ .
Simplify fraction: Before multiplying, simplify the fraction $\frac{13hj}{14hj}$ by canceling out the common factors. Both the numerator and the denominator have $hj$ , so they can be canceled out. This gives us $\frac{13}{14}.$
Multiply by reciprocal: Now multiply the simplified fraction from Step $2$ by the reciprocal of $2h$ , which is $\frac{1}{2h}$ . So, $\frac{13}{14} \times \frac{1}{2h} = \frac{13}{14\times2h}$ .
Multiply denominators: Multiply the denominators. So, $14\times2h = 28h$ .
Final answer: Write the final answer in the simplest form. So, $\frac{13}{14\times 2h} = \frac{13}{28h}.$