# Illustrating Addition and Subtraction of Proper Fractions

- Author:
- Lew W.S.

- Topic:
- Addition, Fractions, Subtraction

**Aim of Applet**This applet illustrate the addition and subtraction of proper fractions of different denominatiors. The need to make up equivalent fractions with same denominators before we can add the numerators and get the resulting fraction is visually demonstrated. The resulting fraction may also need to be reduced to the lowest term where necessary

**Interactive elements (checkboxes and sliders)**Use the 1. Subtract Fraction checkbox to activate the operation of subtraction of proper fractions in the applet.

**Prior knowledge of pupils**1 Pupils know the terms fraction, proper fractions, improper fractions, whole and mixed numbers 2. Pupils know addition and subtraction of whole numbers and proper fractions of same denominator 3. Pupils know idea of equivalent fractions 4. Pupils may or may not know the idea of lowest common multiple, but are be able to grasp the visual idea of having fraction parts of the same size and hence the concept of equivalent fractions of the same/common denominator

**Comparing fractions**See also https://www.geogebra.org/material/show/id/qwjhd8kx on comparing fractions by converting to equivalent fractions using common denominators or common numerators!

**Questions for Learner :**1. How do we add two fractions of the same/common denominator ? 2. Explain the idea of equivalent fractions 3. How do we add two fractions with different denominators ? 4. How do we find the "right" number of parts to split, so that the parts in both fractions are of the same size ? (From this we get the same/common denominator for both fractions)