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QUESTION IMAGE

solve for j. \\frac{1}{5} = \\frac{2}{9}j j = \\square

Question

solve for j.
\frac{1}{5} = \frac{2}{9}j
j = \square

Explanation:

Step1: Isolate $j$ by dividing both sides by $\frac{2}{9}$

$\frac{1}{5} \div \frac{2}{9} = j$

Step2: Rewrite division as multiplication by reciprocal

$j = \frac{1}{5} \times \frac{9}{2}$

Step3: Multiply numerators and denominators

$j = \frac{1 \times 9}{5 \times 2} = \frac{9}{10}$

Answer:

$\frac{9}{10}$