What to line up
Match first quantity to first quantity, second to second, and keep units consistent. Swapping order or units makes equal ratios look unequal (or the reverse). Math as a Language covers both ideas together.
Related lessons
See also this lesson and this one for related setups you can place side by side.
Same ratio, different look
Example: 3:2 and 6:4 describe the same ratio; 3:2 and 2:3 do not. Write both as “first quantity : second quantity” before you decide if they match.
Check
Aligned setup Mismatched setup
Same numbers
Core lesson
Go deeper: Math as a Language. Use the calculators below with your own loan or bill numbers, not only the examples on this page.
Use the calculator
FAQ
- Where is the main lesson?
Math as a Language has the full topic, examples, and practice links.
- Which calculator first?
After your setup is on paper, open Fraction for a quick numeric pass.