1. Multistep Equations: Fractions and Decimals
SWBAT solve multistep equations involving fractions and decimals; solve equations with variables in the denominator

2. Equations with Decimals
When solving an equation with terminating decimals, you can multiply each side by a power of 10 to form an equivalent equation with only integers
Count the greatest number of decimal places and use that power of ten to multiply

3. Equations with Decimals
Two decimal places
Multiply by 100 (102)
100(1.12c ) = 100(9.90)
112c = 990
Solve as usual
112c = 789
C = 7
-206
-206
112
112

4. Equations with Fractions
When solving an equation involving fractions, you can multiply each side by the least common denominator of the fraction to form and equivalent equation with only integers

5. Equations with Fractions
1½x + 25/6 = -12/3
First change all fractions into their improper form
3/2 x + 17/6 = -5/3
Find the LCD 6
Multiply the both sides by 6
6(3/2 x + 17/6 ) = 6(-5/3)

6. Equations with Fractions
6(3/2 x + 17/6 ) = 6(-5/3)
6/1*3/2 x + 6/1*17/6 = 6/1*-5/3
Remember to cancel out first to make your job easier
9/1 x + 17/1 = 10/1
9x + 17 = 10
Solve as usual 3 2

7. Variables in the Denominator
When a variable appears in the denominator of an equation you can use cross products to solve the equation

8. Variables in the Denominator n
Re-write the mixed number as an improper fraction n
Cross multiply
-36(5) = 12n
Solve as usual
= 2 =

9. Examples 0.2x + 1.4 – 0.5x = 2.2 – 0.1x 2n/3 + 3 – n/5 = n – 5
r = -4.2
m/8 – 2½ = -4
4.8/a = -0.3
7 + 3y y =

10. Examples -s/3 – 4 = -10 5y – 1 – 3y = 5 1/5 7 35 a 60 0.06t – 2.9 = 7 a
0.06t – 2.9 = 7 =