Model 1 — Finding the Ratio

04 Try it yourself Interactive

From equal multiples to a ratio

Set the coefficients of an equation like pA = qB, and optionally a third term. The walkthrough swaps the pair, names the common value, clears the fractions with the LCM, then does it again with hide-and-multiply and substitutes the answer back to prove it.

2A = 3B = 4C — the lesson equation

6 : 4 : 3 · all products equal 12

Set the third coefficient to “none” for the two-term case. Compare the LCM route with hide-and-multiply on the same numbers — they always agree, and one of them needs no division.

Press Next to work through it one step at a time.

A : B–

Common value k–

A : B : C–

Check–

step 0 / 0