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ANSWER 108
3. 27 is 25% of what number
ANSWER 40%
4. What percent of 90 is 36?
ANSWER d = 4ANSWER x = 36
1. 2.
Solve:1 ( 8) 74x
36 6 (4 8)4
d d
Solve Equations With Fractional Coefficients
Goal: Solve equations with fractional coefficients
Coefficient
The number being multiplied by the variable.
Ex: 2x + 32 is the coefficient
Proportion v.s. Fractional Coeff
Find the LCD
3 Steps For Solving Fractional Coefficients
Step 1: Use the LCD of all fractions on both sides of the equation. Then change the denominators.
3 4 2112 12 12w w
LCD=127
4 3 4w w
3 Steps For Solving Fractional Coefficients
Step 2: Combine the like Terms.
3 4 2112 12 12w w
7 2112 12w
3 Steps For Solving Fractional Coefficients
Step 3: Multiply both sides by the LCD.
7 21wLCD=12
3w
7 2112 1212 12w
7 2112 12w
Examples
36 3 112 12 12
x xx x x
3 1 14 12x
x
9 = x
Step 1: Use the LCD of all fractions on both sides of the equation
Step 2: Combine the like Terms.
Step 3: Multiply both sides by the LCD.
LCD = 12x 12 3x
12x 12x12 12 12x x x
36 3 1x x 36 4x
Examples2 43 9xx
x = 6/5
Proportion orFractional Coefficients?
Proportion!
Examples3 1 1
2 10t
t = 5
Proportion orFractional Coefficients?
Fractional
Coefficient!
Try This!4 42 5
xx
x = 12
Proportion orFractional Coefficients?
Proportion!
Try This!1 2 26 3x
x = 4
Proportion orFractional Coefficients?
Fractional
Coefficient!
Try This!6 2 1
5 2 4y y
y = 4/5
Proportion orFractional Coefficients?
Fractional
Coefficient!
Try This!9
1 8zz
z = 9
Proportion orFractional Coefficients?
Proportion!
Try This!263
yy
y = -4
Proportion orFractional Coefficients?
Proportion!
Try This!5 1 11 5 4yy
1/5
Proportion orFractional Coefficients?
Proportion!
Try This!1 3 18 3 1
xx
x = 3/7
Proportion orFractional Coefficients?
Proportion!
Try This!3 12bb b
b = -1
Proportion orFractional Coefficients?
Proportion!