Skill: Calculate a unit rate

Explanation and Free Practice Resources

A unit rate expresses a relationship between two quantities as an equivalent ratio with one unit of the second quantity, such as miles per 1 hour or dollars per 1 item. Learners determine it by dividing the quantity being measured by the number of units, including when the result is a fraction or decimal, and use the labeled rate to interpret and compare situations; more advanced rate functions and generalized proportional models are not included.

Detailed Explanation: Calculate a unit rate

A unit rate tells how much of one quantity corresponds to 1 unit of another quantity.

To find a unit rate:

  1. Identify the two quantities and their units.
  2. Divide the first quantity by the number of units of the second quantity.
  3. Label the answer with the correct units.

Example:
A store sells 33 notebooks for 7.50$. What is the cost per notebook?

  1. The total cost is 7.50,andthenumberofnotebooksis, and the number of notebooks is 3$.
  2. Divide the cost by the number of notebooks:
7.50÷3=2.507.50 \div 3 = 2.50
  1. Include the units:
$2.50 per notebook\boxed{\$2.50\text{ per notebook}}

The unit rate is 2.50forfor1$ notebook.

Learn by doing: Calculate a unit rate

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Ratios - Unit Rates, Solve for Rate


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