1. Equations with Fractions
By: Desmine Zeigler

2. To solve equations with Fractions
Find the lowest common multiple of the Denominator which is known as the lowest common denominator (LCD).
Remove the fractions by multiplying both sides of the equation by the LCD.
Solve the equation for the unknown pronumeral by performing the same operations to both sides of the equation.
A pronumeral is a letter that is used to represent a number (or numeral) in a problem.

3. Examples Solve 2x=6 for x 3 3*2x=3*6 3 2x=18 2 2 X=9
2 2
X=9
Lowest common multiple of 3 and 1 is 3.  So, we multiply both sides by 3 to obtain:
                                               
Solution:
                 
2x=6 3
3 1
Divide both sides by 2

4. Examples Continued
Lowest common multiple of 8 and 3 is 24.  So, we multiply both sides by 24 to obtain:
24(x+2)= 24x 2
Solve x+2=2 for x.
(simplify)
x+2=2
8 3
Solution:
3(x+2) = 16
3x+6=16
3x+6-6=16-6
3x=10
3x= 10
x=3 1 3
Remove Brackets
Subtract 6 from both sides
Divide both sides by 3

5. Practice problems 1)5 1⁄2+p=6 2)m-1 1⁄2=-5⁄4 3)-3⁄4b=2 4)x-3=-5 1⁄2
7)2 1⁄10n=1 1⁄6
8)9 1⁄3=5⁄3n

6. Practice Problems (continued)
9) 5 2⁄7+k=2 27⁄70
10)2 5⁄12=-3 1⁄4+k
11)m-4⁄9=-2 67⁄90
12)11⁄6= 1⁄3=+p
13)1 13⁄54=11⁄8v
14)39⁄5=2m
15)n- 3⁄4=-2 3⁄4

7. Answers
1)1⁄2
2)1⁄4
3)-2 2⁄3
4)-2 1⁄2
5)1 3⁄4
6)-4 3⁄4
7)5⁄9
8)5 3⁄5

8. Answers
9)-2 9⁄10
10)5 2⁄3
11)-2 3⁄10
12)1 1⁄2
13)7⁄8
14)3 9⁄10
15)-2