Add Fractions with Improper Sums

Videos, examples, and solutions to help Grade 5 students learn how to add fractions with sums between 1 and 2.

Common Core Standards: 5.NF.1, 5.NF.2
Worksheets for Grade 5

The following figures show how to add unlike fractions with area models. Scroll down the page for more examples and solutions.

Lesson 4 Application Problem
Leslie has 1 liter of milk in her fridge to drink today. She drank 1/2 liter of milk for breakfast and 2/5 liter of milk for dinner. How many liters did Leslie drink during breakfast and dinner?

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Lesson 4 Concept Development
Problem 1: 1/2 + 3/4
Problem 2: 4/5 + 1/2
Problem 3: 2/3 + 3/5
Problem 4: 3/8 + 2/3

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Lesson 4 Problem Set

1. For the following problems, draw a picture using the rectangular fraction model and write the answer. When possible, write your answer as a mixed number.
   c) 1/2 + 3/5 =
   d) 5/7 + 1/2 =
   e) 3/4 + 5/6 =
   f) 2/3 + 3/7 =
   Solve the following problems. Draw a picture and/or write the number sentence that proves the answer. Simplify your answer.
   
2. Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home. How many hours has Carlos practiced piano? How much longer does he need to practice before going to bed in order to meet his goal?
   
   Homework:

3. Mr. Sinofsky used 5/8 of a tank of gas on a trip to visit relatives for the weekend and another half of a tank commuting to work the next week. He then took another weekend trip and used 1/4 tank of gas. How many tanks of gas did Mr. Sinofsky use altogether?

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Lesson 4 Homework
This video shows how to add fractions with unlike denominators. It will also demonstrate, using diagrams, how to convert an improper fraction into a mixed number

1. Directions: For the following problems, draw a picture using the rectangular fraction model and write the answer. When possible, write your answer as a mixed number.
   a) 3/4 + 1/3
   e) 2/3 + 5/6

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Lesson 4 Homework

1. Directions: For the following problems, draw a picture using the rectangular fraction model and write the answer. When possible, write your answer as a mixed number.
   b) 3/4 + 2/3
   d) 5/6 + 1/2
   Solve the following problems. Draw a picture and/or write the number sentence that proves the answer. Simplify your answer.
   

3. Mr. Sinofsky used 5/8 of a tank of gas on a trip to visit relatives for the weekend and another half of a tank commuting to work the next week. He then took another weekend trip and used 1/4 tank of gas. How many tanks of gas did Mr. Sinofsky use altogether?

• Show Step-by-step Solutions

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