Name Date 5.NF.A.1 5.NF.A.2. Class

Adding & Subtracting Fractions with Unlike Denominators - Part 2

Key Takeaways

Standard:5.NF.A.1- Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

5.NF.A.2- 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.

Previously, we knew how to create equivalent fractions by multiplying a fraction by a fraction equivalent to one whole. Now, we can add and subtract fractions with unlike denominators by creating equivalent fractions.

Vocabulary: Numerator: The numerator contains the number of those parts being described by the fractionDenominator: The denominator of a fraction shows how many equal parts or pieces the whole has been split intoEquivalent fractions: Fractions that represent the same value are called equivalent fractions.___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Activating Prior Knowledge

Let’s warm up with a 4th grade problem!

Guided PracticeSolve each problem using both a model and the algorithm.

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Part A: Tymire and Nayad shared a pizza. Tymire ate 38 of the pizza. Nayad

ate 14 of the same pizza. How much of the pizza did they eat in all?

Part B: If Kevin gets the rest of the pizza, what fraction of the pizza will Kevin get?

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Independent Practice (Mild)Directions: Read and solve each problem. Remember to MOLE!

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2. On Monday Ms. Dillane ran 14 of a mile and on Tuesday she ran 13 of a mile. How far did she run over the two day period?

(a) 24 mile

(b) 27 mile

(c) 212 mile

(d) 712 mile

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3. Aron had 45

of a cake leftover from his birthday party. He gave away 13

of the cake. How much cake did Aron have left?

4. In the morning, Jhane walked 212 of a mile. That afternoon she walked 15 of a mile and

then she walked 312 of a mile in the evening. How far did Jhane walk in all?

5. Jay was making brownies. He needed 28 cup of sugar and 14 cup of brown sugar, and 12 cups of confectioners’ sugar. How many cups of sugar did he need in all?

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Independent Practice (Medium)Directions: Read and solve each problem. Remember to MOLE!

6. Jessica had 910 of a pie leftover. She gave 12 of a pie to her teacher and 13 of a pie to her mom. How much pie does Jessica have left?

7. Jerry was making cookies. The oatmeal raisin needed 18 cup of sugar and the

chocolate chip needed 23 cup of sugar. If he has 1 cup of sugar, how much will be left over?

8. Marcus collected baseball cards. 13 of his baseball cards were from NY teams, 18 were from the Boston Red Sox, and the rest were from the Philadelphia team. What fraction of the baseball cards were from the Philadelphia team?

9. Jamar had a bag full of jelly beans. 38 of the jelly beans were red, 14 were yellow, and the rest were green. How many jelly beans were green?

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Independent Practice (Spicy)Directions: Read and solve each problem. Remember to MOLE!

10. Jayden and his brother are selling a box of chocolates for his football team fundraiser. On Saturday they sold 14 of the box and on Sunday they

sold 23 of the box. Their grandpa buys the rest of the box.

A. What fraction of the box does their grandpa buy?

B. Model the problem below. Be sure to label each part.

11. Jasleen and her brother were completing a puzzle. They finished 112 of it on

Monday night, 13 of it on Tuesday night, and 524 of it on Wednesday night. What fraction of the puzzle do they still have left?

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Name Date

Assignment: ET, 5 th Grade Math Team

Adding & Subtracting Fractions with Unlike Denominators - Part 2

Exit Ticket

Read and solve. Remember to use MOLE steps!

1) So far Joseph has spent 13 of an hour on his math homework, 14 of an hour on his

science homework and 38 of an hour on his history homework. What fraction of an hour has he spent on his homework in all?

2) Colette had some candy. 25 of her candy were lollipops, 14 were chocolate, and the rest were gummy bears. What fraction of her candy were gummy bears?

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Name Date Assignment: HW, 5 th Grade Math Team

Adding & Subtracting Fractions with Unlike Denominators - Part 2

HomeworkRemember to use your MOLE steps for every problem. 1. Derick has a marble collection. 14 of the marbles are gold, 25 are silver, and the rest

were blue. What fraction of the marbles is blue?

2. Read and solve.

3. Read and solve.

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Solve and write the corresponding letters below. Riddle: Why did the moon skip dessert?

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