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Solving
Solve the proportion .
Step 1 — Multiply both sides by the LCD. The denominators are and . Since , the LCD is . Multiply both sides by :
Step 2 — Simplify. On the left, cancels with the denominator , leaving . On the right, , so the product is :
Step 3 — Check. Substitute back into the original proportion:
✓
The solution is . This example illustrates the basic technique for solving a proportion when the variable appears in a numerator: multiply both sides by the LCD to clear fractions, divide out common factors, and verify by substituting the result into the original equation.
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Learn After
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