Equivalent Rate Explorer

Practice equivalent rates, proportions, and fractional rate problems with these related worksheets.

See equivalent rates and proportions solved using several different strategies.

Read the real-world situation and study the equivalent rate that is shown.

Enter the missing value as a whole number, decimal, or simplified fraction.

Use Check Answer to test your work, or use Reveal Work to see the proportional reasoning.

Equivalent rates describe the same relationship even when the numbers change.

Both quantities must be scaled in a way that keeps the rate equivalent.

Fraction answers should be simplified, and rounded decimal answers can be reasonable in real-world situations.

Rate: A comparison of two quantities with different units.

Equivalent Rates: Rates that describe the same relationship.

Unit Rate: A rate that compares a quantity to exactly 1 unit.

Proportion: An equation showing that two ratios or rates are equal.

Scale Factor: A number used to multiply or divide quantities to create an equivalent rate.

Simplified Fraction: A fraction written so the numerator and denominator have no common factor other than 1.

Equivalent rates can be written as equal ratios.

\(\frac{a}{b}=\frac{c}{d}\)

When one quantity changes, the matching quantity must change in a way that keeps the relationship the same.

\(\text{new value}=\text{old value}\times\text{scale factor}\)

You can solve equivalent rate problems with scale factors, unit rates, ratio tables, or proportions.

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