Divide. Simplify your answer. 2j/12j^2 ÷ 8j ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, (2j/12j^2) ÷ 8j = (2j/12j^2) × (1/8j).Simplify by multiplying: Simplify the expression by multiplying the numerators and the denominators. So, (2j/12j^2) × (1/8j) = (2j × 1) / (12j^2 × 8j).Perform multiplication: Perform the multiplication in the numerator and the denominator. So, (2j × 1) / (12j^2 × 8j) = 2j / (96j^3).Simplify the fraction: Simplify the fraction by canceling out common factors. The j in the numerator and one j in the denominator cancel out, and 2/96 can be reduced to 1/48. So, 2j / (96j^3) = 1 / (48j^2).Check for further simplification: Check for any further simplification. Since there are no common factors left and the variables are simplified, the expression is in its simplest form.

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Divide. Simplify your answer. $\newline$ $\frac{2j}{12j^2} \div 8j$

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Simplify your answer.

\newline

\frac{2j}{12j^2} \div 8j

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, $(\frac{2j}{12j^2}) \div 8j = (\frac{2j}{12j^2}) \times (\frac{1}{8j})$ .
Simplify by multiplying: Simplify the expression by multiplying the numerators and the denominators. So, $(\frac{2j}{12j^2}) \times (\frac{1}{8j}) = (\frac{2j \times 1}{12j^2 \times 8j})$ .
Perform multiplication: Perform the multiplication in the numerator and the denominator. So, $(2j \times 1) / (12j^2 \times 8j) = 2j / (96j^3)$ .
Simplify the fraction: Simplify the fraction by canceling out common factors. The $j$ in the numerator and one $j$ in the denominator cancel out, and $\frac{2}{96}$ can be reduced to $\frac{1}{48}$ . So, $\frac{2j}{96j^3} = \frac{1}{48j^2}$ .
Check for further simplification: Check for any further simplification. Since there are no common factors left and the variables are simplified, the expression is in its simplest form.