Lesson objective: Multiply by a fraction equal to one to prove that two fractions are equivalent.

This lesson helps to build the procedural skill of generating equivalent fractions by multiplying by a fraction equivalent to one. Equations are used here to support students' understanding of equivalent fractions. This work develops students' understanding that multiplying both fraction components by the same number preserves the relationship between them. This is the same result as multiplying by one.

Students engage in Mathematical Practice 6 attend to precision as they compare and find equivalent fractions.

**Key vocabulary:**

- mixed numbers
- scaling