Math Playground
Algebra

Cross multiply

a/b = c/d → a·d = b·c. The fastest way to solve a proportion.

When two fractions are equal, cross-multiplying turns them into a single equation.

Walk through
Step 1 of 4
The equation

Solve x/4 = 6/8 by cross-multiplying.

When (and how) to cross-multiply

  • Use it only when you have one fraction equal to one fraction.
  • a/b = c/d ⇒ ad = bc (multiply each numerator by the other denominator).
  • It's really just multiplying both sides by both denominators in one move.
Your turn

Solve 5/x = 2/6.

Watch out

Cross-multiplying does not work on x/4 + 1 = 6/8 — there are two terms on the left. Combine into a single fraction first, or just multiply through by the common denominator.

Rule
Try it

x/4 = 6/8

8x = 24, so x = 3.