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Adding and Subtracting
Fractions and Mixed Numbers
April Ferrell
2006
Add and Subtract Fractions
Add and Subtract Fractions with
Like Denominators
• Add or subtract the whole numbers
• Add or subtract the numerators
• The denominators stay the SAME!
• Simplify your answer
• Divide by the Greatest Common Factor
• Turn improper fractions into mixed
numbers
1/4
1/12
1/3
10/12
0% 0%0%0%
1. 1/4
2. 1/12
3. 1/3
4. 10/12
12 12
7 3 .
10
1 2 3 4 5
Ryan uses 5/6 cans of red paint and 3/6
cans of blue paint. How much more red
paint than blue paint did he use?
1
/3
1
1
/2
2/6
9/6
0% 0%0%0%
1. 1/3
2. 1 1/2
3. 2/6
4. 9/6
10
1 2 3 4 5
3 3
1 2 .5 6
11
3/8
12
13
12
11/15
0% 0%0%0%
1. 11 3/8
2. 12
3. 13
4. 12 11/15
10
1 2 3 4 5
Rachel ate 2 1/4 pieces of pizza. Laura
ate 1 3/4 pieces of pizza. How much
pizza did they eat all together?
1
2
/4
4
2
1
/2
3
0% 0%0%0%
1. 1 2/4
2. 4
3. 2 1/2
4. 3
10
1 2 3 4 5
8 8
7 1 .34 11
23
6/8
45
6/8
23
2/3
14
5/8
0% 0%0%0%
1. 23 2/3
2. 45 6/8
3. 23 3/4
4. 14 5/8
10
1 2 3 4 5
Josh spent 1 1/3 hours on his
homework on Monday and 2 2/3 on
Tuesday. How much more time did he
spend on Tuesday than Monday?
1
1
/3
4
3
1
/3
3
0% 0%0%0%
1. 1 1/3
2. 4
3. 3 1/3
4. 3
10
1 2 3 4 5
Add and Subtract Fractions with
Unlike Denominators
Add and Subtract Fractions with
Unlike Denominators
• Find the Least Common Multiple
• Make equivalent fractions
• Add or subtract the numerators
• The denominators stay the SAME!
• Simplify your answer
• Find the Greatest Common Factors
• Turn improper fractions into mixed numbers
2 6
1 4 .
1
1/6
5/8
7/6
1/6
0% 0%0%0%
1. 1 1/6
2. 5/8
3. 7/6
4. 1/6
10
1 2 3 4 5
Lisa made a pizza using 1/2 cup of ham
and 3/5 cup of cheese. How many cups
of toppings did she use?
10
1
1/10
5/4
11/10
1
1/4
25% 25%25%25%
1. 1 1/10
2. 5/4
3. 11/10
4. 1 1/4
1 2 3 4 5
24 6
20 2 .
1
4/24
1/2
12/24
18/18
0% 0%0%0%
1. 1 4/24
2. 1/2
3. 12/24
4. 18/18
10
1 2 3 4 5
Of the students in our class, 1/3 are in
band and 7/12 are in chorus. How many
more students are in chorus than the
band?
3
/1
2
1
/4
8
/1
5
1
0
/1
2
0% 0%0%0%
1. 3/12
2. 1/4
3. 8/15
4. 10/12
10
1 2 3 4 5

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2.2 add and sub fractions mixed fractions

  • 1. Adding and Subtracting Fractions and Mixed Numbers April Ferrell 2006
  • 2. Add and Subtract Fractions
  • 3. Add and Subtract Fractions with Like Denominators • Add or subtract the whole numbers • Add or subtract the numerators • The denominators stay the SAME! • Simplify your answer • Divide by the Greatest Common Factor • Turn improper fractions into mixed numbers
  • 4. 1/4 1/12 1/3 10/12 0% 0%0%0% 1. 1/4 2. 1/12 3. 1/3 4. 10/12 12 12 7 3 . 10 1 2 3 4 5
  • 5. Ryan uses 5/6 cans of red paint and 3/6 cans of blue paint. How much more red paint than blue paint did he use? 1 /3 1 1 /2 2/6 9/6 0% 0%0%0% 1. 1/3 2. 1 1/2 3. 2/6 4. 9/6 10 1 2 3 4 5
  • 6. 3 3 1 2 .5 6 11 3/8 12 13 12 11/15 0% 0%0%0% 1. 11 3/8 2. 12 3. 13 4. 12 11/15 10 1 2 3 4 5
  • 7. Rachel ate 2 1/4 pieces of pizza. Laura ate 1 3/4 pieces of pizza. How much pizza did they eat all together? 1 2 /4 4 2 1 /2 3 0% 0%0%0% 1. 1 2/4 2. 4 3. 2 1/2 4. 3 10 1 2 3 4 5
  • 8. 8 8 7 1 .34 11 23 6/8 45 6/8 23 2/3 14 5/8 0% 0%0%0% 1. 23 2/3 2. 45 6/8 3. 23 3/4 4. 14 5/8 10 1 2 3 4 5
  • 9. Josh spent 1 1/3 hours on his homework on Monday and 2 2/3 on Tuesday. How much more time did he spend on Tuesday than Monday? 1 1 /3 4 3 1 /3 3 0% 0%0%0% 1. 1 1/3 2. 4 3. 3 1/3 4. 3 10 1 2 3 4 5
  • 10. Add and Subtract Fractions with Unlike Denominators
  • 11. Add and Subtract Fractions with Unlike Denominators • Find the Least Common Multiple • Make equivalent fractions • Add or subtract the numerators • The denominators stay the SAME! • Simplify your answer • Find the Greatest Common Factors • Turn improper fractions into mixed numbers
  • 12. 2 6 1 4 . 1 1/6 5/8 7/6 1/6 0% 0%0%0% 1. 1 1/6 2. 5/8 3. 7/6 4. 1/6 10 1 2 3 4 5
  • 13. Lisa made a pizza using 1/2 cup of ham and 3/5 cup of cheese. How many cups of toppings did she use? 10 1 1/10 5/4 11/10 1 1/4 25% 25%25%25% 1. 1 1/10 2. 5/4 3. 11/10 4. 1 1/4 1 2 3 4 5
  • 14. 24 6 20 2 . 1 4/24 1/2 12/24 18/18 0% 0%0%0% 1. 1 4/24 2. 1/2 3. 12/24 4. 18/18 10 1 2 3 4 5
  • 15. Of the students in our class, 1/3 are in band and 7/12 are in chorus. How many more students are in chorus than the band? 3 /1 2 1 /4 8 /1 5 1 0 /1 2 0% 0%0%0% 1. 3/12 2. 1/4 3. 8/15 4. 10/12 10 1 2 3 4 5