The reciprocal of a fraction \(\frac { a} { b} \) is \(\frac { b} { a} \).
Apply this to the given expression \(\frac { 3x - y} { 5} \).
The reciprocal is \(\frac { 5} { 3x - y} \).
Supplemental Knowledge
The reciprocal of a number or expression is what you multiply by to get 1. For a fraction \(\frac { a} { b} \), the reciprocal is \(\frac { b} { a} \). This concept extends to algebraic expressions as well.
Everyday Examples
Reciprocals can come in handy in numerous real-life applications, from calculating rates and unit conversion to solving equations and equation solving. Knowing speed (distance/time), for instance, provides us with time per unit distance as an answer if using reciprocals correctly.
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