Guides

• The Golden Ratio Explained Simply: What It Is and What It Is Not

  The golden ratio is a real mathematical constant of about 1.618 with elegant properties. Here is what it actually is, where it genuinely appears, and which famous claims about it are myths.

• Ratios vs Fractions vs Proportions: What Is the Difference?

  Ratios compare quantities, fractions show part of a whole, and proportions are equations of equal ratios. Clear definitions with correct worked examples.

• Real World Ratio Examples: Recipes, Maps, Screens, and Gears

  Four everyday ratio examples with every number computed: rice and water in recipes, 1:50000 map scales, 1920x1080 screen ratios, and 4:1 gear reduction.

• How to Solve a Ratio with Cross Multiplication, Step by Step

  Learn to solve a ratio with cross multiplication: the diagonal rule, worked whole number and decimal examples, how to check your answer, and common mistakes.