The Universal Calculation Engine
Insights
The Universal Calculation Engine

Answering before checking units

Part of: Word Problems

Common word problems errors: fix the structure before you redo the arithmetic.

What goes wrong

Check both sides of an equation, consistent units, and the same meaning for each letter. Word Problems lists the usual pitfalls.

Compare setups

Two different answers usually mean two different setups. Compare diagrams or equations line by line with this lesson and this one open for reference.

Typical fixes

You added 5 to the left side of an equation but not the right—both sides must stay equal. Or you added two ratios as if they were single numbers; ratios scale together, they do not add like plain fractions unless you rewrite them with a common structure.

Contrast

Wrong setup
Corrected setup

Verify

Core lesson

Go deeper: Word Problems. 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?

Word Problems has the full topic, examples, and practice links.

Which calculator first?

After your setup is on paper, open Percentage for a quick numeric pass.