Lesson 1: Make equivalent fractions with the number line, the area model, and numbers.

Property

Equivalent fractions are different fractions that name the same number.
They represent the same part of a whole or the same point on a number line, so they have the same value: $\frac{a}{b} = \frac{c}{d}$.

Examples

Property

To generate an equivalent fraction from an area model, you can partition the model with horizontal lines.
If you create $n$ new horizontal sections, you are multiplying the number of shaded parts (numerator) and the total number of parts (denominator) by $n$.
This visual process is represented by the numerical formula:

Examples