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!