Divide. Simplify your answer. 12n/14m ÷ 4m^2n ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, (12n/14m) ÷ (4m^2n) becomes (12n/14m) × (1/(4m^2n)).Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, (12n/14m) × (1/(4m^2n)) = (12n × 1) / (14m × 4m^2n).Simplify by canceling factors: Simplify the expression by multiplying the denominators and canceling out common factors. The numerator is 12n and the denominator is 56m^3n. We can cancel out the common factor of n from the numerator and denominator, and also divide both the numerator and the denominator by 4, which is a common factor.Final simplified expression: After simplification, the expression becomes (12/56) × (1/m^3) = (3/14) × (1/m^3) = 3/(14m^3).

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Divide. Simplify your answer. $\newline$ $\frac{12n}{14m} \div 4m^2n$

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Simplify your answer.

\newline

\frac{12n}{14m} \div 4m^2n

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, $(12n/14m) \div (4m^2n)$ becomes $(12n/14m) \times (1/(4m^2n))$ .
Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, $(\frac{12n}{14m}) \times (\frac{1}{4m^2n}) = \frac{12n \times 1}{14m \times 4m^2n}$ .
Simplify by canceling factors: Simplify the expression by multiplying the denominators and canceling out common factors. The numerator is $12n$ and the denominator is $56m^3n$ . We can cancel out the common factor of $n$ from the numerator and denominator, and also divide both the numerator and the denominator by $4$ , which is a common factor.
Final simplified expression: After simplification, the expression becomes $(\frac{12}{56}) \times (\frac{1}{m^3}) = (\frac{3}{14}) \times (\frac{1}{m^3}) = \frac{3}{14m^3}$ .