Multiplying Fractions
6 X 1/2
6/2 (simplifies to 3)
Convert 5 2/3 into an improper fraction
17/3
5 x 14
(5x10) + (5x4) = 50 + 20 = 70
When dividing fractions, we need to have a __________.
Common denominator
What is a word we can use instead of the "x" symbol?
Of
5 X 2/3
Simplify
10/3 (Simplifies to 3 1/3)
Convert 24/7 into a mixed number
3 3/7
8x27
(8x20) + (8x7) = 160 + 56 = 216
6/3 divided by 2/3
3
Estimate: Will the product of 10 x 6/5 be:
a) Less than 10
b) Between 10 and 20
c) More than 20
b) Between 10 and 20
1/4 x 3/9
Simplify
3/36 (simplifies to 1/12)
Convert 10 4/5 into an improper fraction
54/5
6x136
(6x100) + (6x30) + (6x6) =
600 + 180 + 36 =
816
What is the other method for dividing fractions called?
Keep, change, flip
What operation does the fraction line tell us to use?
Division
5 x 2 1/2
Use distributive property
(5 x 2) + (5 x 1/2)
10 + 5/2
10 + 2 1/2
12 1/2
Simplify 100/20
5
When we multiply whole numbers using the distributive property, we separate the tens and ones. When we multiply mixed numbers using the distributive property, we separate ______ and _____.
Whole numbers and fractions
5 4/8 divided by 2/8
44/8 divided by 2/8 = 22
What is the reciprocal of 2/5
5/2
3 3/4 x 2 2/5
15/4 x 12/5
180/20
9
Convert 68/6 into a simplified mixed number.
11 2/6 = 11 1/3
7 x 3 1/4
(7x3) + (7x1/4)
21 + 7/4
21 + 1 3/4
22 3/4
6 1/3 divided by 2 5/6
Convert to improper fractions
6 1/3 = 19/3
2 5/6 = 17/6
19/3 divided by 17/6
Now create common denominators:
19/3 = 38/6
38/6 divided by 17/6 = 38/17 = 2 4/17
Adding and dividing fractions both need a common denominator. What is different about the way we use those common denominators?
In addition, the denominator stays the same. In division, we get rid of the denominator.