Multiply. Simplify your answer. 6k/16j^2k^2 * 20j ______

Rewrite multiplication: Rewrite the multiplication of the two fractions. We have (6k)/(16j^2k^2) * (20j)/(1).Multiply numerators and denominators: Multiply the numerators together and the denominators together. So, (6k * 20j) / (16j^2k^2 * 1).Perform multiplication: Perform the multiplication in the numerator and denominator. This gives us (120jk) / (16j^2k^2).Simplify fraction by canceling: Simplify the fraction by canceling out common factors. The number 16 can be divided by 4, and 120 can be divided by 4, resulting in (30jk) / (4j^2k^2). Also, we can cancel out one j from the numerator and denominator, and one k from the numerator and denominator. This results in (30) / (4jk).Further simplify fraction: Simplify the fraction further by dividing the numerator and the denominator by their greatest common divisor, which is 4. This gives us (30/4) / (jk). Simplifying 30/4 gives us 7.5, so the final simplified form is 7.5/jk.

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Algebra 1

Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

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\frac{6k}{16j^2k^2} \times 20j

Rewrite multiplication: Rewrite the multiplication of the two fractions. We have $(\frac{6k}{16j^2k^2}) \times (\frac{20j}{1})$ .
Multiply numerators and denominators: Multiply the numerators together and the denominators together. So, $(6k \times 20j) / (16j^2k^2 \times 1)$ .
Perform multiplication: Perform the multiplication in the numerator and denominator. This gives us $(120jk) / (16j^2k^2)$ .
Simplify fraction by canceling: Simplify the fraction by canceling out common factors. The number $16$ can be divided by $4$ , and $120$ can be divided by $4$ , resulting in $(30jk) / (4j^2k^2)$ . Also, we can cancel out one $j$ from the numerator and denominator, and one $k$ from the numerator and denominator. This results in $(30) / (4jk)$ .
Further simplify fraction: Simplify the fraction further by dividing the numerator and the denominator by their greatest common divisor, which is $4$ . This gives us $(30/4) / (jk)$ . Simplifying $30/4$ gives us $7.5$ , so the final simplified form is $7.5/jk$ .