Day 10: Mixed numbers, Fractions in Equations
Convert each Mixed Number to an Improper Fraction:
1
3 4
12
11
12
2
8 3
31
13
100
Convert each Improper Fraction to Mixed Number:
12
5
18
13
102
7
1542
5
Combining
Option 1: Combine as Improper Fractions (across)
1
1
2
1
2 3
8 4
4
4
3
6
5
1
5 6
8
2
1
3
13 7
6
4
Option 2: Combine as Mixed Numbers (tablature)
2
1
8
2
3
4
1
1
3
4
4
6
5
8
1
6
2
5
Math 0306.11204
1
6
3
7
4
13
August 2, 2010, Day 10
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Grouping
Option 1: Group as Improper Fractions
1
3
2 8
8 3
10 4
5
3 9
7
1
9 2
8
6
4
10
7
5
13
9
Option 2: There is no option 2 when multiplying or dividing fractions – use Improper Fractions!
Solving Equations Involving Fractions
When fractions appear in equations to be solved, start by multiplying both sides of the equation
(all terms) by the LCD. When done correctly, you can always divide before multiplying, and there
will be no fractions left, so you can solve as a normal equation. This is often called “Clearing the
Fractions”.
Solve each of the following equations. Clear fractions first:
1
7
1
2
5
5 4 9
9
11
11 11
Math 0306.11204
August 2, 2010, Day 10
Page 2 of 3
Math 0306.11204
3
7
5
20
2 1
3 12 4
2
7
2 3
3
5
1
1
2 14 7
4
August 2, 2010, Day 10
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