Videos, solutions, and lessons to help Grade 5 students learn to solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2

Common Core: 5.NF.2

- I can solve addition and subtraction word problems with fractions.
- I can estimate fractions to make sense of my answer.

Related Topics:

Common Core for Grade 5

More Lessons for Grade 5

Solve word problems with addition and subtraction of fractions referring to the same whole (5.NF.2)

In this lesson you will learn to estimate fraction sums and differences by using benchmark fractions

Example: Mikki has 5/8 of a bag of chocolate chip cookies and 1/4 of a bag of oatmeal cookies. Does Mikki have a full bag of cookies?

In this lesson you will learn to solve word problems involving addition of unlike fractions by using fraction bars.

Example: Sally sells sea shells by the sea shore. She picked up 1/4 of a basket of shells today and picked up 1/2 of a basket of shells yesterday. How many sea shells does Sally have altogether to sell?

Tammy's construction company bought 19/10 bags of gravel and used 4/5 of a bag to fill the holes in a driveway. How much gravel does Tammy's construction company have left?

Example: Mabel did 2 4/7 pages of her homework now and will finish the other 3 pages later. How many total pages of homework does Mabel have?

Example: Adrian knows that he needs to eat 5 servings of vegatable each day. So far he has eaten 4 6/8 cups today. How much more does Adrian need to eat?

Example: Judy was organizing her post-it notes by color. She had 2 1/2 that were blue and 2 4/6 that were pink. How many post-it notes does Judy have?

In this lesson you will learn to solve word problems involving subtraction of unlike mixed number fractions by using number lines.

Example: A.J. put stickers on the bottom of his skateboard. He started with 3 pages of stickers and used 1 5/7 pages. How many pages does A.J. have remaining?

Example: Peter's picture has a 2/3 of an inch red border around it. There is a 1/6 of an inch green border around the red border. How wide is the total border?

Example: The total distance to the library is 5/6 of a mile. Shannon has walked 1/3 of a mile. How much further does she have to walk?

Example: Karen needs 1/5 of a cup of sugar for her cookies and 1/3 of a cup of sugar for her cake. How much sugar does she need in all?

In this lesson you will learn to solve word problems involving subtraction of fractions with unlike denominators by creating like denominators.

Example: The cat starts with 5/6 of a cup of food in his bowl. He eats 1/4 of a cup of food. How much food is left?

Example: Thomas eats 1/4 of his pizza on Monday and 2/3 of his pizza on Tuesday. How much does he eat all together?

Gabriela has 3/4 of a cup of soda in a glass. She drinks 1/2 of a cup of soda. How much soda does she have now?

Example: I bought 5/6 of a gallon of paint but used only 1/2 of a gallon. How much paint do I have left?

Subtracting Fractions From Whole Numbers.

Solve a word problem using bar models.

Example: A craft store has a 9-yard spool of ribbon. In the morning, a customer buys 1/5 yard of ribbon from the spool. In the aftenoon, another cutomer buys 7/10 yard of ribbon from the spool. How much ribbon is left?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.