1. 3.6 EQUATIONS WITH FRACTIONS AND DECIMALS
Algebra concepts

2. objective
Students will solve Multistep Equations containing fractions and decimals.

3. Clearing the Equation
When an equation contains fractions or decimals, we can use multiplication to get rid of them

4. Clearing the Equation
Fractions – multiply by Least Common Denominator (Use LCM SHEET)

5. Example 1
2 3 𝑥− 1 2 𝑥= 𝑥

6. Example 2
7 8 𝑥+ 3 4 = 1 2 𝑥+ 3 2

7. Example 3
5 6 𝑥+ 1 2 = 2 3 𝑥+4

8. Clearing the Equation
Decimals – Count number of digits after decimal (use the highest one)
1 digit → Multiply by 10
2 digits → Multiply by 100
3 digits → Multiply by 1000

9. Example 4
16.3−7.2𝑦=−8.18

10. Example 5
26.45=4.2𝑟+1.25

11. Example 6
0.5𝑎+0.75𝑎+1.2=1.45

12. Try these
1.) 41.68=4.7−8.6𝑦
2.) 1 7 𝑧 = 5 14