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FRACTIONS
Fractions
A number in the form
Numerator
Denominator
Or
N
D
Fractions
The denominator can never be equal to 0.
0
12
=
Does not
exist!
Fractions
A fraction with a numerator of 0 equals 0.
156
0
= 0
4
0
= 0
Fractions
• If the numerator is larger than the denominator,
it is called an improper fraction.
Find the improper fraction
11
7
12
10
73
56
9
4
8
10
Math with Fractions
Four basic functions
• Multiply
• Divide
• Add
• Subtract
Multiplication
• Multiply the numerators and put in
the numerator of the result
• Multiply the denominators and put
in the denominator of the result
8 9 8 x 9 72
47 7 x 4 28
= =x
Multiplication - Let’s Try It!
9 2
17
=x
5 3
17
=x
7 11
94
=x
4 14
730
=x
18
7
15
7
77
36
56
210
Division
• Just like multiplication with one more step
• Invert the second fraction and multiply
8 2
13
=÷
8 1
23
x =
8
6
Division - Let’s Try It!
9 2
17
=÷
=
5 3
17
÷
7 11
94
=÷
=
4 10
720
÷
9
14
5
21
63
44
7
50
Addition
• To add two fractions, you must make sure
they have a Common Denominator
• What can you multiply each fraction by to give the
smallest common denominator?
8
3
16
5
+
The smallest number that has
both of these as factors is 16
8 goes into 16 two times 16 goes into 16 one time
16
6
8
3
2
2x = 16
5
16
5
1
1x =
16
6
16
5
+ =
16
11
Once you have a common
denominator, add the numerators.
Addition - Let’s Try It!
4 2
11
=+
=
8 3
26
+
16 8
24
=+
=
16 4
313
+
4
3
12
17
2
1
16
25
Subtraction
• To subtract two fractions, they also must
have a Common Denominator
• What can you multiply each fraction by to
give the smallest common denominator?
8
3
16
5-
The smallest number that has
both of these as factors is 16
8 goes into 16 two times 16 goes into 16 one time
16
6
=8
3
2
2x
16
5
=16
5
1
1x
16
6
16
5
- =
16
1
Once you have a common
denominator, subtract the numerators.
Subtraction - Let’s Try It!
=
8 2
17
-
8 2
16
=-
=
16 8
39
-
4 16
75
=-
8
3
4
1
16
3
16
13
Review
• A fraction has a numerator and a denominator
• The denominator can never be 0
• You can multiply, divide, add and subtract fractions
• A common factor is a number that both
denominators are evenly divisible by
• A common denominator is a number that both
denominators share a factor with

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Fractions

  • 2. Fractions A number in the form Numerator Denominator Or N D
  • 3. Fractions The denominator can never be equal to 0. 0 12 = Does not exist!
  • 4. Fractions A fraction with a numerator of 0 equals 0. 156 0 = 0 4 0 = 0
  • 5. Fractions • If the numerator is larger than the denominator, it is called an improper fraction. Find the improper fraction 11 7 12 10 73 56 9 4 8 10
  • 6. Math with Fractions Four basic functions • Multiply • Divide • Add • Subtract
  • 7. Multiplication • Multiply the numerators and put in the numerator of the result • Multiply the denominators and put in the denominator of the result 8 9 8 x 9 72 47 7 x 4 28 = =x
  • 8. Multiplication - Let’s Try It! 9 2 17 =x 5 3 17 =x 7 11 94 =x 4 14 730 =x 18 7 15 7 77 36 56 210
  • 9. Division • Just like multiplication with one more step • Invert the second fraction and multiply 8 2 13 =÷ 8 1 23 x = 8 6
  • 10. Division - Let’s Try It! 9 2 17 =÷ = 5 3 17 ÷ 7 11 94 =÷ = 4 10 720 ÷ 9 14 5 21 63 44 7 50
  • 11. Addition • To add two fractions, you must make sure they have a Common Denominator • What can you multiply each fraction by to give the smallest common denominator? 8 3 16 5 + The smallest number that has both of these as factors is 16 8 goes into 16 two times 16 goes into 16 one time 16 6 8 3 2 2x = 16 5 16 5 1 1x = 16 6 16 5 + = 16 11 Once you have a common denominator, add the numerators.
  • 12. Addition - Let’s Try It! 4 2 11 =+ = 8 3 26 + 16 8 24 =+ = 16 4 313 + 4 3 12 17 2 1 16 25
  • 13. Subtraction • To subtract two fractions, they also must have a Common Denominator • What can you multiply each fraction by to give the smallest common denominator? 8 3 16 5- The smallest number that has both of these as factors is 16 8 goes into 16 two times 16 goes into 16 one time 16 6 =8 3 2 2x 16 5 =16 5 1 1x 16 6 16 5 - = 16 1 Once you have a common denominator, subtract the numerators.
  • 14. Subtraction - Let’s Try It! = 8 2 17 - 8 2 16 =- = 16 8 39 - 4 16 75 =- 8 3 4 1 16 3 16 13
  • 15. Review • A fraction has a numerator and a denominator • The denominator can never be 0 • You can multiply, divide, add and subtract fractions • A common factor is a number that both denominators are evenly divisible by • A common denominator is a number that both denominators share a factor with