Free practice · boolean · easy

Practice

Preserve ratio direction

Five dollars per item has the same meaning as five items per dollar.

Ratio direction map

Label both quantities before reducing to a per-one rate

  1. LabelQuantity A compared with B
  2. DirectChoose the requested per-unit direction
  3. ReduceDivide both parts consistently
  4. ScaleApply one factor to both parts
  5. CheckUnits and cross-products agree

Direction determines meaning. Preserve the numerator and denominator units, scale both parts together, and substitute the result to check the relationship.

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