Solving Equations with Fractions

This video tutorial teaches how to solve equations involving fractions by finding the least common denominator and using the distributive property. It covers two examples: one with two fractions and another with three fractions, demonstrating how to simplify and solve for the variable. The video concludes with tips on using mental math to skip steps and encourages practice for mastery.

What is the first step in solving an equation with fractions?

• Add all fractions together

• Find the least common denominator

• Multiply all terms by zero

• Divide all terms by the largest number

In the equation x/3 - x/5 = 3, what is the least common denominator?

• 5

• 15

• 1

• 3

What property is used to eliminate fractions in the equation?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

After simplifying the equation, what is the next step to solve for x?

• Subtract 5 from both sides

• Multiply both sides by 2

• Divide both sides by 2

• Add 3 to both sides

In the new problem, what is the equation given?

• M/3 + 2M/5 = 1/5

• M/3 - 2M/5 = 1/5

• M/3 - M/5 = 1/5

• M/5 - 2M/3 = 1/5

What is the least common denominator for the new problem with variable M?

• 1

• 15

• 5

• 3

What is the result of simplifying 15M divided by 3?

• 15M

• 5M

• 3M

• M

What is the final value of M after solving the equation?

• -1

• -3

• 3

• 1

What is a useful shortcut when solving equations with fractions?

• Divide by the largest number

• Multiply by zero to simplify

• Use mental math to skip steps

• Always add fractions first