Solving Equations with Fractions

In this video, Sean Gannon from Minute Math teaches how to solve equations with fractions using the addition, subtraction, and division properties of equality. The tutorial begins with a problem statement and demonstrates step-by-step how to isolate the variable by moving terms across the equation. The solution is verified by substituting the result back into the original equation. The video concludes with a call to action for viewers to like and subscribe for more free math lessons.

What mathematical properties are used to solve equations with fractions?

• Addition, multiplication, and division

• Addition, subtraction, and division

• Addition, subtraction, and multiplication

• Multiplication, division, and subtraction

What is the first step in solving the equation a - 5/9 = -8/9?

• Multiply both sides by 9

• Subtract 5/9 from both sides

• Divide both sides by 9

• Add 5/9 to both sides

Why do we add 5/9 to both sides of the equation?

• To isolate the variable

• To change the equation's balance

• To eliminate the variable

• To simplify the equation

What is the result of adding 5/9 to both sides of the equation a - 5/9 = -8/9?

• a = 1/3

• a = 3/9

• a = -1/3

• a = -3/9

How do you simplify the fraction -3/9?

• -2/3

• -1/3

• -3/3

• -1/2

What is the simplified solution for the equation a - 5/9 = -8/9?

• a = -1/2

• a = -1/3

• a = 1/2

• a = 1/3

What is the purpose of substituting the solution back into the original equation?

• To change the equation

• To find a new solution

• To verify the solution

• To simplify the equation

What is the common denominator used when verifying the solution?

• 12

• 6

• 3

• 9

What is the result of substituting -1/3 back into the equation a - 5/9 = -8/9?

• -8/9

• -7/9

• -6/9

• -5/9

What does the verification step confirm about the solution?

• The solution is correct

• The solution is incorrect

• The solution needs adjustment

• The solution is approximate