Fractions | Class 6 Mathematics Notes

Introduction to Fractions

Fractions are numbers that represent parts of a whole. When a whole object or quantity is divided into equal parts, each part is called a fraction of the whole. For example, if one roti is divided equally between two children, each child gets half a roti, represented as 1/2. Similarly, if one roti is shared equally among four children, each child gets one-fourth of the roti, represented as 1/4. Fractions help us understand how much each share is when a whole is divided among several people or parts. The numerator (top number) of a fraction indicates how many parts are taken, while the denominator (bottom number) indicates into how many equal parts the whole is divided. Comparing fractions like 1/2 and 1/4 shows that 1/2 is larger because the whole is divided into fewer parts, so each part is bigger. This basic understanding of fractions as equal shares is fundamental to learning more about fractional units and operations on fractions.

📊 Diagram: Recall that when some whole number of things are shared equally among some number of people, fractions tell us how much each share is; See figure_1, figure_2, figure_3.

🧪 Activity: Discussion between Shabnam and Mukta about sharing rotis and comparing fractions 1/2 and 1/4 to understand fractional shares.

🔗 Connection: Leads to understanding fractional units and how the size of fractional parts changes with the denominator.