1. Fractions II: Part 2 of 2 Teacher’s Quality Grant

2. Benchmark MA.5.A.2.1 Represent addition and subtraction of decimals and fractions with like and unlike denominators using models, place value or properties. MA.5.A.2.2 Add and subtract fractions and decimals fluently and verify the reasonableness of results, including in problem situations. MA.5.A.2.3 Make reasonable estimate of fraction and decimal sums and differences, and use techniques for rounding.

3. Addition of Fractions Methodology There are 3 Simple Steps to add fractions: Step 1: Make sure the bottom numbers (the denominators) are the same Step 2: Add the top numbers (the numerators). Put the answer over the same denominator. Step 3: Simplify the fraction (if needed).

4. Addition of Fractions with Like Denominators Calculate the addition of:

5. Addition of Fractions with Like Denominators (cont.)

6. Addition of Fractions with Unlike Denominators Calculate the addition of: 1313 1616

7. Addition of Fractions with Unlike Denominators (cont.)

9. 2626 1616 3636

10. 2626 1616 3636 1212

11. Subtraction of Fractions Methodology There are 3 simple steps to subtract fractions Step 1. Make sure the bottom numbers (the denominators) are the same Step 2. Subtract the top numbers (the numerators). Put the answer over the same denominator. Step 3. Simplify the fraction.

12. Subtraction of Fractions with Like Denominators Calculate the subtraction of:

13. Subtraction of Fractions with Unlike Denominators Calculate the subtraction of: 1212 1616

14. Subtraction of Fractions with Unlike Denominators

15. 3636 1616

16. 3636 1616 2626

17. Subtraction of Decimals Methodology There are 3 simple steps to subtract fractions Write down the two numbers, one under the other, with the decimal points lined up. Add zeros so the numbers have the same length Then subtract normally, remembering to put the decimal point in the answer

18. Subtraction of Decimals (cont.) Subtract 0.03 from 1.1

19. Addition of Decimals Methodology There are 3 simple steps to subtract fractions Write down the numbers, one under the other, with the decimal points lined up Put in zeros so the numbers have the same length Then add normally, remembering to put the decimal point in the answer

20. Addition of Decimals (cont.) Add 1.452 to 1.3

21. Sample Problems Problem 1: John walked 1/2 of a mile yesterday and 3/4 of a mile today. How many miles has John walked? Problem 2: Mary is preparing a final exam. She study 3/2 hours on Friday, 6/4 hours on Saturday, and 2/3 hours on Sunday. How many hours she studied over the weekend

22. Sample Problems Problem 3: A recipe needs 3/4 teaspoon black pepper and 1/4 red pepper. How much more black pepper does the recipe need? Problem 4: A football player advances 2/3 of a yard. A second player in the same team advances 5/4 of a yard. How much more yard did the second player advance?