Multiplying Decimals and Fractions

The video tutorial covers solving equations with fractions and decimals. It begins with an introduction to the topic, followed by examples demonstrating how to eliminate fractions by multiplying both sides of the equation by a common factor. The tutorial also explains using the least common denominator and multiplying by multiples of 10 to simplify equations. Each example is detailed with step-by-step instructions, making it easier to understand the process. The video concludes with a call to action to subscribe for more content.

What is the first step in solving equations with fractions?

• Subtract fractions from both sides

• Add fractions to both sides

• Multiply both sides by a common factor

• Divide both sides by a common factor

Why do we multiply both sides of an equation by a common factor?

• To add more fractions

• To eliminate denominators

• To increase the number of terms

• To make the equation more complex

What is the purpose of multiplying an equation by a common factor?

• To increase complexity

• To eliminate fractions

• To change the equation's properties

• To add more variables

In the example, what happens when you multiply 2 times 3x over 2?

• It becomes 6x

• It becomes 3x

• It becomes 12x

• It becomes 9x

What is the result of simplifying 6x over 2?

• 2x

• 3x

• 5x

• 4x

What is the result of simplifying 18 over 2?

• 8

• 6

• 7

• 9

What is the least common denominator used in the example with two different denominators?

• 14

• 21

• 28

• 35

What is the inverse operation of adding 2x to both sides?

• Multiplying by 2x

• Subtracting 2x

• Adding 4x

• Dividing by 2x

How do you solve an equation with three different denominators?

• Multiply by the largest denominator

• Multiply by the least common multiple

• Multiply by the smallest denominator

• Multiply by the sum of the denominators

What is the result of multiplying 21 times x over 7?

• 3x

• 4x

• 5x

• 6x