# Fractions / Creating Equivalent Fractions

Activity 4 of 15
In this lesson, students explore how to create equivalent fractions by multiplying the numerator and denominator of a fraction by a common factor.

## Planning and Resources

Objectives
Students express that a fraction (a/b) is equivalent to a fraction (n x a/ n x b).  They can generate a fraction equivalent to a given fraction.

Vocabulary
factor
common divisor

Standard:

## Lesson Snapshot

#### Understanding

Students will use multiplication and area models to generate equivalent fractions. Students learn that equivalent fractions can be generated by multiplying a given fraction by a fraction equal to 1.

### What to look for

Have students observe several examples of creating equivalent fractions. Then lead them in a discussion of their observations.

### Sample Assessment

a.  (5/4) = (BLANK/BLANK)

b.  (3/ BLANK) = (BLANK/ 21)
Possible answer:  (3/7) = (9/ 21)

#### The Big Idea

The fraction (n/n), where n is not equal to 0, is the same as the number 1.

### What are the students doing?

Have students work in pairs so that student has an opportunity to generate an equivalent fraction and explain their method to the other.

### What is the teacher doing?

As students explore multiplying fractions to create equivalent fractions, encourage them to make predictions and explain their reasoning.