Algebraic Fraction Cancel Game
Simplify algebraic fractions by cancelling common factors and identifying excluded values.
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Instructions, device progress and accessibility
Choose Easy, Normal or Hard and select Practice or a daily puzzle based on the UTC date. Enter answers, then select Check answer. Hints and Undo mark a round as assisted. Best scores and progress are stored only in this browser; no account is needed.
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How to play Algebraic Fraction Cancel
Simplify the numerator and denominator using common factors. Remember that cancelling a factor does not make its original zero value allowable. Enter the reduced numerator, reduced denominator and excluded values.
Worked example
For 2(x + 3) / 5(x + 3), cancel (x + 3) to obtain 2/5, but x = −3 remains excluded because the original denominator would be zero.
Math formulas and key skills
If P(x)=A(x+b) and Q(x)=C(x+b), P/Q=A/C provided x ≠ −b. If there are two cancelled factors, exclude both original zeros.
Avoid common mistakes
Never cancel separate terms across addition or subtraction. Cancel only common factors and record every zero of the original denominator.
Frequently asked questions
Why do excluded values still matter after cancelling?
They make the original denominator zero, so the original expression remains undefined there.
Can I cancel an x from x + 3?
No. You may cancel a factor common to an entire numerator and denominator, not one term from a sum.