Fractions — O/L Mathematics

What must I remember about Fractions?

• Addition and subtraction of fractions require a common denominator determined by the Least Common Multiple (LCM) of denominators.
• Multiplication of fractions involves multiplying numerators together and denominators together: (a/b) × (c/d) = (ac / bd); simplify common factors before multiplying.
• Division of fractions is executed by multiplying by the reciprocal of the divisor: (a/b) ÷ (c/d) = (a/b) × (d/c).
• Order of mathematical operations follows BODMAS: Brackets, Of (multiplication), Division and Multiplication (left-to-right), Addition and Subtraction (left-to-right).
• Multi-step word problems involving 'remaining fractions': Calculate each allocated portion sequentially from the remaining balance, not from the initial total.

Test yourself (1 minute)

1. The 'remaining' fraction trap in Paper 2 Part A

   If 1/4 is spent, the remainder is 3/4; spending 1/3 OF THE REMAINDER equals (1/3) × (3/4) = 1/4, NOT 1/3 of the total.

2. Reciprocal in division

   Never invert the dividend (the first fraction); strictly invert the divisor (the second fraction).

3. Mixed numbers conversion

   Always convert mixed numbers to improper fractions before performing multiplication or division.

Practise Fractions questions today

Source: NIE G.C.E. (O/L) Mathematics Syllabus (Grade 10, Unit 3)

What should I study first?

What comes next?

Next in the syllabus

Where does Fractions fit in the syllabus?

Grade 10 · Term 1