Add Fractions - Unlike Units

New York State Common Core Math Grade 5, Module 3, Lesson 3

Download Worksheets for Grade 5, Module 3, Lesson 3 (Pdf)

The following figures give an example of adding unlike fractions with area models. Scroll down the page for more examples and solutions.

Lesson 3 Application Problem
Alex squeezed 2 liters of juice for breakfast. If he pours the juice equally into 5 glasses, how many liters of juice will be in each glass? (Bonus: How many milliliters are in each glass?)

Lesson 3 Concept Development
Problem 1: 1/2 + 1/4
Problem 2: 1/3 + 1/2
Problem 3: 2/3 + 1/4
Problem 4: 2/5 + 2/3
Problem 5: 2/7 + 2/3

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Lesson 3 Problem Set

1. For the following problems, draw a picture using the rectangular fraction model and write the answer.
   Simplify your answer.
   c) 1/4 + 1/6
   d) 1/3 + 1/7
   e) 3/4 + 1/5
   f) 2/3 + 2/7
   

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Lesson 3 Homework
This video demonstrates how to add simple fractions with unlike denominators using rectangular models.

1. For the following problems, draw a picture using the rectangular fraction model and write the answer.
   Simplify your answer.
   a) 1/4 + 1/3
   b) 1/4 + 1/5

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Lesson 3 Homework

1. For the following problems, draw a picture using the rectangular fraction model and write the answer.
   Simplify your answer.
   a) 1/4 + 1/3
   b) 1/4 + 1/5
   f) 3/5 + 3/7
   Solve the following problems. Draw a picture and/or write the number sentence that proves the answer.
2. Cynthia completed 2/3 of the items on her to-do list in the morning, and finished 1/8 of the items during her lunch break. How much of her to-do list is finished by the end of her lunch break? (Bonus: How much of her to-do list does she still have to do after lunch?)
   

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Lesson 3 Homework

1. For the following problems, draw a picture using the rectangular fraction model and write the answer.
   Simplify your answer.
   e) 1/4 + 2/5
   Solve the following problems. Draw a picture and/or write the number sentence that proves the answer.
2. Rajesh jogged 3/4 mile, and then walked 1/6 mile to cool down. How far did he travel?

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