Algebraic Fractions Adding and Subtracting Algebraic Fractions St

Algebraic Fractions Adding and Subtracting Algebraic Fractions St Clare College, Secondary School, Pembroke

Adding and Subtracting Algebraic Fractions (1) We can add and subtract algebraic fractions in the same way as numerical fractions. 16 5 Ex 3 Work out: 5 Solution 4 Ex 2 Work out: Solution Ex 1 Work out: 2 5 4 16 16 16 Find a common denominator. 16 is the fourth multiple of 4. 5 2 10 Find a common denominator. 16 Find the equivalent fractions. 10 5 10 Find a common denominator. 10 2 2 1 4

◦ Adding Algebraic Fractions

Exercise A (The answers appear on clicking) [a] [b] [c] [d] 3 2 4 10 9 8 6 4 9 8 12 24 40 20 [e] [f] [g] [h] 8 4 6 7 3 5 9 5 Q 2 Write the following as a fraction in its simplest form. 24 20 54 18 35 Solution Q 1 Write the following as a fraction in its simplest form. [a] [b] [c] [d] 3 9 12 8 2 6 6 4 2 10 4 14 [e] [f] [h] 8 3 19 5 4 11 9 6 39 7 5 29

Adding and Subtracting Algebraic Fractions (2) Solution Ex 4 Work out: 3 3 5 5 15 15 Find a common denominator. 15 Write as a single fraction. 15 Expand keep a close focus no the negative signs. 15 Note: Take care of the signs when expanding the second bracket - - += = + -

◦ Subtracting Algebraic Fractions Note: Take care of the signs when expanding the second bracket

Exercise B (The answers appear on clicking) Solution Q 3 Write the following as a single fraction in its simplest form. [a] [b] [c] [d] 7 4 2 6 3 [e] 21 [f] 12 3 10 5 7 42 [g] [h] 2 4 2 9 4 18 10 6 15 6 4 12