Multiply. Write your answer in simplest form. j/10j - 25 * 5 ______

Distribute multiplication: Rewrite the expression by distributing the multiplication across the fraction. So, (j/(10j - 25)) * 5 can be written as 5 * (j/(10j - 25)).Multiply numerator by 5: Multiply the numerator by 5. So, 5 * (j/(10j - 25)) becomes (5j)/(10j - 25).Simplify common factors: Look for common factors in the numerator and the denominator to simplify the fraction. The numerator 5j and the denominator 10j both have a common factor of j.Reassess approach: Divide both the numerator and the denominator by the common factor j. This gives us (5)/(10 - 25/j). However, since j is in the denominator of the denominator, we cannot directly cancel it out. This step is incorrect, and we need to reassess our approach.

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Multiply. Write your answer in simplest form. $\newline$ $\frac{j}{10j - 25} \times 5$

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Algebra 1

Multiply and divide rational expressions

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Q. Multiply. Write your answer in simplest form.

\newline

\frac{j}{10j - 25} \times 5

Distribute multiplication: Rewrite the expression by distributing the multiplication across the fraction. So, $(j/(10j - 25)) \times 5$ can be written as $5 \times (j/(10j - 25))$ .
Multiply numerator by $5$ : Multiply the numerator by $5$ . So, $5 \times \left(\frac{j}{10j - 25}\right)$ becomes $\left(\frac{5j}{10j - 25}\right)$ .
Simplify common factors: Look for common factors in the numerator and the denominator to simplify the fraction. The numerator $5j$ and the denominator $10j$ both have a common factor of $j$ .
Reassess approach: Divide both the numerator and the denominator by the common factor $j$ . This gives us $\frac{5}{10 - \frac{25}{j}}$ . However, since $j$ is in the denominator of the denominator, we cannot directly cancel it out. This step is incorrect, and we need to reassess our approach.