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1 ∎ Page πŸπŸŽπŸ“ Essential Question: How do you solve equations that contain fractions & decimals

2 πŸ’ πŸ’ Solving Equations With Fractions 𝟏 𝟐 𝒙+πŸ’= πŸ‘ πŸ’ π’™βˆ’πŸ’ 𝟏 𝟐 𝒙+πŸ’= πŸ‘ πŸ’ π’™βˆ’πŸ’
∎ Solving Equations With Fractions 𝟏 𝟐 𝒙+πŸ’= πŸ‘ πŸ’ π’™βˆ’πŸ’ 𝟏 𝟐 𝒙+πŸ’= πŸ‘ πŸ’ π’™βˆ’πŸ’ πŸ’ Step 1: FIND THE LOWEST COMMON DENOMINATOR Step 2: MULTIPLY ALL TERMS BY THE LOWEST COMMON DENOMINATOR πŸ’ 𝟐 πŸ’ 𝟏 βˆ™ 𝟏 𝟐 𝒙+πŸ’ = πŸ‘ πŸ’ π’™βˆ’πŸ’ πŸ’ 𝟏 βˆ™ Step 3: CANCEL ALL FRACTIONS βˆ™πŸ’ βˆ™πŸ’ Step 4: MULTIPLY πŸπ’™ +πŸπŸ” =πŸ‘π’™ βˆ’πŸπŸ” Continue………….οƒ 

3 𝒙 =βˆ’πŸπŸ– πŸπ’™+πŸπŸ“=πŸπ’™βˆ’πŸ‘ + βˆ’πŸπ’™ βˆ’πŸπ’™ πŸπ’™+πŸπŸ“ = βˆ’πŸ‘ + βˆ’πŸπŸ“ βˆ’πŸπŸ“ πŸπ’™ = βˆ’πŸπŸ– ∎
Step 5…….stuff you know how to do: πŸπ’™+πŸπŸ“=πŸπ’™βˆ’πŸ‘ + βˆ’πŸπ’™ βˆ’πŸπ’™ πŸπ’™+πŸπŸ“ = βˆ’πŸ‘ + βˆ’πŸπŸ“ βˆ’πŸπŸ“ πŸπ’™ = βˆ’πŸπŸ– 𝒙 =βˆ’πŸπŸ–

4 πŸ‘ πŸ‘ Solving Equations With Fractions 𝟐 πŸ‘ 𝒙+πŸ“= 𝟏 πŸ‘ π’™βˆ’πŸ 𝟐 πŸ‘ 𝒙+πŸ“= 𝟏 πŸ‘ π’™βˆ’πŸ
∎ Solving Equations With Fractions 𝟐 πŸ‘ 𝒙+πŸ“= 𝟏 πŸ‘ π’™βˆ’πŸ 𝟐 πŸ‘ 𝒙+πŸ“= 𝟏 πŸ‘ π’™βˆ’πŸ πŸ‘ Step 1: FIND THE LOWEST COMMON DENOMINATOR Step 2: MULTIPLY ALL TERMS BY THE LOWEST COMMON DENOMINATOR πŸ‘ πŸ‘ 𝟏 βˆ™ 𝟐 πŸ‘ 𝒙+πŸ“ = 𝟏 πŸ‘ π’™βˆ’πŸ πŸ‘ 𝟏 βˆ™ Step 3: CANCEL ALL FRACTIONS βˆ™πŸ‘ βˆ™πŸ‘ Step 4: MULTIPLY πŸπ’™ +πŸπŸ“ =πŸπ’™ βˆ’πŸ‘ Continue………….οƒ 

5 𝒙 = πŸ‘πŸ πŸπ’™+πŸπŸ”=πŸ‘π’™βˆ’πŸπŸ” + βˆ’πŸ‘π’™ βˆ’πŸ‘π’™ βˆ’πŸπ’™+πŸπŸ” = βˆ’πŸπŸ” + βˆ’πŸπŸ” βˆ’πŸπŸ” βˆ’πŸπ’™ = βˆ’πŸ‘πŸ βˆ’πŸ βˆ’πŸ ∎
Step 5…….stuff you know how to do: πŸπ’™+πŸπŸ”=πŸ‘π’™βˆ’πŸπŸ” + βˆ’πŸ‘π’™ βˆ’πŸ‘π’™ βˆ’πŸπ’™+πŸπŸ” = βˆ’πŸπŸ” + βˆ’πŸπŸ” βˆ’πŸπŸ” βˆ’πŸπ’™ = βˆ’πŸ‘πŸ βˆ’πŸ βˆ’πŸ 𝒙 = πŸ‘πŸ

6 πŸ• πŸ• Solving Equations With Fractions 𝟏 πŸ• π’™βˆ’πŸ”= πŸ‘ πŸ• π’™βˆ’πŸ’ 𝟏 πŸ• π’™βˆ’πŸ”= πŸ‘ πŸ• 𝒙+πŸ’
∎ Solving Equations With Fractions 𝟏 πŸ• π’™βˆ’πŸ”= πŸ‘ πŸ• π’™βˆ’πŸ’ 𝟏 πŸ• π’™βˆ’πŸ”= πŸ‘ πŸ• 𝒙+πŸ’ πŸ• Step 1: FIND THE LOWEST COMMON DENOMINATOR Step 2: MULTIPLY ALL TERMS BY THE LOWEST COMMON DENOMINATOR πŸ• πŸ• 𝟏 βˆ™ 𝟏 πŸ• π’™βˆ’πŸ” = πŸ‘ πŸ• 𝒙+πŸ’ πŸ• 𝟏 βˆ™ Step 3: CANCEL ALL FRACTIONS βˆ™πŸ• βˆ™πŸ• Step 4: MULTIPLY πŸπ’™ βˆ’πŸ’πŸ =πŸ‘π’™ +πŸπŸ– Continue………….οƒ 

7 𝒙 =βˆ’πŸ‘πŸ“ πŸπ’™βˆ’πŸ’πŸ=πŸ‘π’™+πŸπŸ– + βˆ’πŸ‘π’™ βˆ’πŸ‘π’™ βˆ’πŸπ’™βˆ’πŸ’πŸ = πŸπŸ– + +πŸ’πŸ +πŸ’πŸ βˆ’πŸπ’™ = πŸ•πŸŽ βˆ’πŸ βˆ’πŸ ∎
Step 5…….stuff you know how to do: πŸπ’™βˆ’πŸ’πŸ=πŸ‘π’™+πŸπŸ– + βˆ’πŸ‘π’™ βˆ’πŸ‘π’™ βˆ’πŸπ’™βˆ’πŸ’πŸ = πŸπŸ– + +πŸ’πŸ +πŸ’πŸ βˆ’πŸπ’™ = πŸ•πŸŽ βˆ’πŸ βˆ’πŸ 𝒙 =βˆ’πŸ‘πŸ“

8 𝟏𝟐 𝟏𝟐 Solving Equations With Fractions πŸ“ πŸ” 𝒙+𝟏=βˆ’ 𝟏 𝟐 𝒙+ 𝟏 πŸ’
∎ Solving Equations With Fractions πŸ“ πŸ” 𝒙+𝟏=βˆ’ 𝟏 𝟐 𝒙+ 𝟏 πŸ’ πŸ“ πŸ” 𝒙+𝟏=βˆ’ 𝟏 𝟐 𝒙+ 𝟏 πŸ’ 𝟏𝟐 Step 1: FIND THE LOWEST COMMON DENOMINATOR Step 2: MULTIPLY ALL TERMS BY THE LOWEST COMMON DENOMINATOR 𝟏𝟐 Step 3: CANCEL ALL FRACTIONS πŸ‘ πŸ” 𝟐 𝟏𝟐 𝟏 βˆ™ πŸ“ πŸ” 𝒙+𝟏 = βˆ’ 𝟏 𝟐 𝒙+ 𝟏 πŸ’ 𝟏𝟐 𝟏 βˆ™ βˆ™ 𝟏𝟐 𝟏 βˆ™πŸπŸ πŸπŸŽπ’™ +𝟏𝟐 =βˆ’πŸ”π’™ + πŸ‘ Step 4: MULTIPLY Continue………….οƒ 

9 𝒙 = πŸ— πŸπŸ” πŸπŸŽπ’™+𝟏𝟐=βˆ’πŸ”π’™+πŸ‘ + +πŸ”π’™ +πŸ”π’™ πŸπŸ”π’™+𝟏𝟐 = πŸ‘ + βˆ’πŸπŸ βˆ’πŸπŸ πŸπŸ”π’™ = πŸ— πŸπŸ” πŸπŸ” ∎∎
Step 5…….stuff you know how to do: πŸπŸŽπ’™+𝟏𝟐=βˆ’πŸ”π’™+πŸ‘ + +πŸ”π’™ πŸ”π’™ πŸπŸ”π’™+𝟏𝟐 = πŸ‘ + βˆ’πŸπŸ βˆ’πŸπŸ πŸπŸ”π’™ = πŸ— πŸπŸ” πŸπŸ” 𝒙 = πŸ— πŸπŸ”


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