Divide. Simplify your answer. 4km^2/12k^2 ÷ 10k^2 ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, 4km^2/12k^2 ÷ 10k^2 = (4km^2/12k^2) × (1/10k^2).Simplify first fraction: Simplify the first fraction by dividing both the numerator and the denominator by the common factor 4k^2. So, (4km^2/12k^2) = (m^2/3).Multiply by reciprocal: Multiply the simplified first fraction by the reciprocal of the second fraction. So, (m^2/3) × (1/10k^2) = m^2/(30k^2).Check for simplest form: Since there are no common factors between the numerator and the denominator, the fraction is already in its simplest form.

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Divide. Simplify your answer. $\newline$ $\frac{4km^2}{12k^2} \div 10k^2$

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Simplify your answer.

\newline

\frac{4km^2}{12k^2} \div 10k^2

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, $\frac{4km^2}{12k^2} \div 10k^2 = \left(\frac{4km^2}{12k^2}\right) \times \left(\frac{1}{10k^2}\right)$ .
Simplify first fraction: Simplify the first fraction by dividing both the numerator and the denominator by the common factor $4k^2$ . So, $(4km^2/12k^2) = (m^2/3)$ .
Multiply by reciprocal: Multiply the simplified first fraction by the reciprocal of the second fraction. So, $(m^2/3) \times (1/10k^2) = m^2/(30k^2)$ .
Check for simplest form: Since there are no common factors between the numerator and the denominator, the fraction is already in its simplest form.