Demystifying - Multiplying and dividing algebraic fractions

Drills

Cancelling before multiplying, and dividing as multiplying by the reciprocal.

Author note — to cover (Higher)

Higher page under the A4 braces. Multiply numerators and denominators after factorising and cancelling; divide by multiplying by the reciprocal. Include quadratic factorising inside the fractions and linear-with-quadratic mixes. Solving equations containing algebraic fractions belongs to the equations topic under A18 rearrangement. (A4)

  • Fluency — direct questions on multiplying and dividing algebraic fractions, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on Multiplying and dividing algebraic fractions.