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Converting 9 Weeks to Minutes Using Chained Conversion Factors
When the starting and target units are not directly related by a single conversion factor, multiple conversion factors can be chained together in one expression. Each factor equals , so multiplying by several of them still preserves the original value — only the unit changes at each step.
To convert weeks to minutes, chain three conversion factors: weeks to days, days to hours, and hours to minutes.
- Start with the given measurement: .
- Write as three successive conversion factors:
- Cancel the common units: "wk" cancels with "wk," "days" cancels with "day," and "hr" cancels with "hr," leaving only minutes.
- Multiply the numerators and denominators:
Therefore weeks minutes. This example extends the single-conversion-factor technique by stringing together several factors in one expression, with each intermediate unit appearing once in a numerator and once in a denominator so that it divides out.
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