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Convert between mixed units

A quantity expressed in mixed units, such as 4 feet 7 inches or 2 kilograms 350 grams, represents one measurement partitioned across related units; conversion preserves its value by regrouping using the appropriate unit equivalence. The understanding includes converting between larger and smaller units in metric and customary systems, including length, mass, capacity, and time, and interpreting results in compound or single-unit form, without extending to compound-unit rates or more advanced dimensional analysis.

Detailed Explanation: Convert between mixed units

A mixed-unit measurement uses two related units together, such as kilograms and grams. To convert it to one unit:

  1. Choose the unit you want in the answer.
  2. Use the unit relationship to convert the other part.
  3. Add the amounts.

Example: Convert 22 kilograms (350)(350) grams to grams.

Since grams are the smaller unit, convert kilograms to grams.

1 kilogram=1000 grams1\text{ kilogram}=1000\text{ grams}

Convert 22 kilograms:

2×1000=2000 grams2\times 1000=2000\text{ grams}

Now add the (350)(350) grams already given:

2000+350=2350 grams2000+350=2350\text{ grams}

Therefore,

2 kg 350 g=2350 g\boxed{2\text{ kg }350\text{ g}=2350\text{ g}}

The measurement’s value did not change—we only regrouped it into one unit.

Learn by doing: Convert between mixed units

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