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Year 10 Interactive Maths - Second Edition


Transpositions Involving Fractions

Example 41

Tranpose the equation x / a + b / c = p to make x the subject.

Solution:

Multiply both sides by the lowest common multiple of the denominators, ac. Then use the Distributive Law, subtract ab from both sides, divide both sides by c and factorise the numerator to find x = a(cp - b) / c.

Short way:

Subtract b / c from both sides and then multiply both sides by a to find x = a( p - b / c).


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