Simplifying Fractions and Solving Equations

This video tutorial explains how to solve one-step equations involving fractions. It covers two examples: solving x + 2/5 = 3/4 and 2/3 = x - 1/2. The tutorial demonstrates how to isolate the variable, find common denominators, and verify solutions by substitution. Each step is explained in detail, ensuring a clear understanding of the process.

What is the first step in solving the equation x + 2/5 = 3/4?

• Add 2/5 to both sides

• Subtract 2/5 from both sides

• Multiply both sides by 5

• Divide both sides by 2

What is the least common denominator when subtracting 3/4 and 2/5?

• 10

• 15

• 20

• 25

What is the solution to the equation x + 2/5 = 3/4?

• 5/20

• 7/20

• 9/20

• 11/20

How do you verify the solution to the equation x + 2/5 = 3/4?

• By multiplying both sides by 4

• By dividing both sides by 5

• By checking if x equals 0

• By substituting x back into the equation

What operation is used to isolate x in the equation 2/3 = x - 1/2?

• Divide both sides by 3

• Subtract 1/2 from both sides

• Add 1/2 to both sides

• Multiply both sides by 2

What is the least common denominator when adding 2/3 and 1/2?

• 3

• 6

• 5

• 4

What is the solution to the equation 2/3 = x - 1/2?

• 5/6

• 6/6

• 8/6

• 7/6

How do you verify the solution to the equation 2/3 = x - 1/2?

• By checking if x equals 1

• By dividing both sides by 2

• By multiplying both sides by 3

• By substituting x back into the equation

What is the simplified form of 4/6?

• 1/2

• 2/3

• 3/4

• 5/6

What is the common factor of 4 and 6 used in simplification?

• 3

• 2

• 1

• 4