Algebraic Fractions Flashcards

A fraction where the numerator, denominator, or both contain algebraic expressions.

Factorise the numerator and denominator, then cancel any common factors.

Find a common denominator, rewrite each fraction with the common denominator, then add the numerators.

Find a common denominator, rewrite each fraction with the common denominator, then subtract the numerators.

Multiply the numerators together and the denominators together, then simplify if possible.

Flip the second fraction (reciprocal), then multiply the fractions and simplify if possible.

Eliminate the fractions by multiplying through by the lowest common denominator (LCD), then solve the resulting equation.

Factorise the quadratic expression in the numerator or denominator to simplify the fraction.

The denominator of a fraction cannot be zero. Solve for the values of the variable that make the denominator zero to find restrictions.

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.