Ratio Calculator: solve ratio problems step-by-step. Clear formula, worked example, and FAQs included.
Simplify: A:B → (A÷GCD):(B÷GCD)
Proportion: A:B = C:D → D = (B × C) ÷ A
Divide total T in ratio A:B → Part A = T × A÷(A+B), Part B = T × B÷(A+B)
Cross-multiplication check: if A:B = C:D then A×D = B×C (the cross-products are equal).
Example: Divide $240 in ratio 3:5. Total parts = 8. Each part = $30. Part A = 3×$30 = $90. Part B = 5×$30 = $150. Check: $90+$150 = $240 ✓