What you’ll learn
Generate equivalent ratios.
Key idea
Equivalent ratios scale the two quantities by one common multiplier.
Scaling only one term changes the relationship; this prompt requests multiplied counts rather than a reduced notation.
Worked example
Enter the exact value or ordered values in the format requested below.
Multiply both terms of 2:4 by 8. Enter the resulting ratio with the multiplied counts, not a reduced ratio.
- Multiply the first term: 2×8=16.
- Multiply the second term: 4×8=32; the requested result is 16:32.
Answer: 16:32
Quick Check
Evaluate a worked attempt at generate equivalent ratios, identify the first invalid step, and provide the correction.
A student writes Step 1: scale 2:7 by 3. Step 2: the equivalent ratio is 6:7. Identify the first invalid step and correct the ratio.