Draw an area model to represent each fraction. Use the area models to make like units. Then add or subtract.

1. Addition

23 + 14 = 812 + 312 = 1112

Like Unit Conversion:

23 = 2 × 43 × 4 = 812
14 = 1 × 34 × 3 = 312

Model Representation: First Model (23): A 3 × 4 grid with 2 out of 3 columns shaded vertically, representing 812. Second Model (14): A 3 × 4 grid with 1 out of 4 rows shaded horizontally, representing 312.

2. Subtraction

56 − 35 = 2530 − 1830 = 730

Like Unit Conversion:

56 = 5 × 56 × 5 = 2530
35 = 3 × 65 × 6 = 1830

Model Representation: First Model (56): A 6 × 5 grid with 5 out of 6 columns shaded vertically, representing 2530. Second Model (35): A 6 × 5 grid with 3 out of 5 rows shaded horizontally, representing 1830.

5th Grade Eureka2 Hub

Plan a Lesson

Teach a Lesson

Review Student Data

Check Homework

View Calendar

Schedule Review

5th Grade Eureka² Hub