📚 Practice With Worksheets
Practice finding unit rates, comparing equivalent rates, and using rates in real-world situations such as shopping, conversions, and fractional amounts per unit.
▶️ Learn With Videos
Watch these lessons to learn multiple strategies for finding and applying unit rates in real-world situations.
🛠️ How to Use This Tool
Click New Problem to generate a unit rate situation involving shopping, speed, earnings, recipes, school contexts, or conversions.
Use the proportion to find the value that belongs above the denominator of 1.
Enter the unit rate as a whole number or decimal, then check your answer or reveal the work.
🧠 Things to Notice
A unit rate always compares a quantity to exactly 1 unit.
The unit rate is found by dividing the top quantity by the bottom quantity.
Conversions, prices, speeds, recipes, and hourly earnings can all be written as unit rates.
📘 Vocabulary
Rate: A comparison of two quantities with different units.
Unit Rate: A rate that compares a quantity to exactly one unit.
Equivalent Rates: Rates that represent the same relationship using different numbers.
Unit Price: The cost for one item, one ounce, one pound, or another single unit.
Per: A word that means “for each” or “for one.”
Conversion: Changing from one unit of measurement to an equivalent unit.
Denominator: The bottom number in a fraction or rate that tells what the quantity is being compared to.
Proportion: An equation showing that two rates or ratios are equivalent.
📐 Unit Rate Rule
To find a unit rate, divide the first quantity by the second quantity.
\(\text{Unit Rate}=\frac{\text{first quantity}}{\text{second quantity}}\)
A unit rate can be shown as an equivalent rate with a denominator of 1.
\(\frac{a}{b}=\frac{x}{1}\)
The value of \(x\) tells how much there is for one unit.
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