Notes 2026–27

Fractions

Class notes, taught in Catalan. Published section by section as the course goes on.

01 9 Sep 2026

Definitions and types of fractions

What a fraction is, numerator and denominator, and proper and improper fractions.

02 9 Sep 2026

Representation on the real line and ordering

Placing a fraction on the real line and the symbols used to compare them.

03 16 Sep 2026

Scaling up, simplifying and irreducible fractions

Scaling a fraction up and simplifying it, and reaching the irreducible one through the gcd.

04 16 Sep 2026

Equivalent fractions

When two fractions are worth the same, the cross product and the missing term.

05 16 Sep 2026

Homework solutions (15 Sep)

Solutions to exercises 5, 6 and 16: equivalence, unknown term and ordering.

06 16 Sep 2026

Adding and subtracting fractions

The five steps for adding and subtracting fractions with different denominators.

07 16 Sep 2026

Homework solutions (16 Sep)

Solutions to exercises 21 and 22: adding and subtracting with whole numbers and brackets.

08 18 Sep 2026

Multiplying and dividing fractions

Multiply straight across, divide crosswise or by the reciprocal, and fractions of fractions.

09 22 Sep 2026

Homework solutions (22 Sep)

Solutions to exercises 22 i, 25 and 26: multiplying and dividing by factorising.

10 23 Sep 2026

Powers and roots of fractions

Power of a fraction, laws of exponents and the root of a fraction.

11 25 Sep 2026

Homework for 25 Sep

Exercises 31 a, c and 32 c, e: combined operations. Folded solutions.

12 23 Sep 2026

Exam topics

What the exam covers and where to revise it.

13 25 Sep 2026

Marked exercises (25 Sep)

Exercises 27, 29 and 34: powers, roots and combined operations.

14 29 Sep 2026

Revision exercises for the exam

Homework to prepare for the exam: one exercise per exam topic, with folded solutions.