\( \frac { 5 } { 3 } x y = \)
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To isolate \(xy\) in the equation \( \frac{5}{3}xy\), you can multiply both sides by the reciprocal of \(\frac{5}{3}\), which is \(\frac{3}{5}\). This gives you \(xy = \frac{3}{5}(\text{some value})\), allowing you to express the relationship or find specific values for \(x\) and \(y\). When working with fractions like this, it's common to forget about simplifying. Always check to see if the numbers can be reduced! For example, if you had \( \frac{10}{6}xy = 1\), you would want to reduce to \( \frac{5}{3}xy = 1\) before solving. This can save you time and prevent errors in your calculations.