Solving Equations Involving Fractions and Decimals

The video tutorial covers solving equations using fractions and decimals. It begins with an introduction and problem setup, followed by a detailed explanation of solving equations with fractions, including finding the least common multiple (LCM) and using reciprocals. The tutorial then transitions to solving equations with decimals, emphasizing the importance of canceling decimals by multiplying by powers of ten. The teacher provides step-by-step instructions and highlights the simplification process, offering tips for avoiding common mistakes.

What is the first step in solving the equation 2/3x + 5 = 18?

• Add 5 to both sides

• Subtract 5 from both sides

• Divide both sides by 2/3

• Multiply both sides by 3/2

After adding 5 to both sides of the equation 2/3x + 5 = 18, what is the next step?

• Multiply both sides by 2/3

• Divide both sides by 2/3

• Subtract 5 from both sides

• Multiply both sides by 3/2

What is the LCM of the denominators 3, 4, and 6?

• 18

• 6

• 12

• 24

What is the purpose of finding the LCM in the context of solving equations with fractions?

• To subtract fractions

• To add fractions

• To cancel the fractions

• To divide fractions

What do you multiply all terms by to cancel the fractions in the equation?

• The numerator

• The denominator

• The LCM

• The reciprocal

What is the result of multiplying 2/3 by 12?

• 12

• 4

• 8

• 6

What is the first step in solving equations with decimals?

• Divide all terms

• Cancel the decimals

• Subtract all terms

• Add all terms

How do you cancel the decimals in an equation?

• Add 10, 100, or 1000

• Divide by 10, 100, or 1000

• Subtract 10, 100, or 1000

• Multiply by 10, 100, or 1000

What is the result of multiplying 6x by 10?

• 600x

• 0.6x

• 60x

• 6x

After canceling the decimals, what is the next step in solving the equation 6x + 1.3 = 2x - 4.5?

• Multiply both sides by 10

• Subtract 6x from both sides

• Divide both sides by 2

• Add 4.5 to both sides