What you’ll learn
Convert measurement units using ratios.
Key idea
The supplied equality defines an exact conversion ratio, not a quantity to add.
Use the ratio direction that cancels the initial unit; an equivalent number with the wrong unit is not the requested measurement.
Worked example
Enter the exact value or ordered values in the format requested below.
Use 1 yard = 3 feet. Convert 16 yards to feet while preserving the measurement. Include the target unit.
- Each yard supplies 3 feet.
- Thus 16×3=48 feet represents the same measurement.
Answer: 48 feet
Quick Check
Evaluate a worked attempt at convert measurement units using ratios, identify the first invalid step, and provide the correction.
Use 1 yard = 3 feet. A student writes Step 1: keep that equality. Step 2: 41 yards equals 41/3 feet. Locate the first invalid step and correct the conversion.