Comparing Fractions: Key Concepts and Techniques

The video tutorial explains how to determine if two fractions, 30/45 and 54/81, are equivalent by simplifying them to their lowest terms. The process involves finding the greatest common factor for each fraction and dividing both the numerator and the denominator by this factor. Both fractions simplify to 2/3, confirming they are equivalent.

What is the first step in determining if two fractions are equivalent?

• Subtract the denominators

• Simplify both fractions to their lowest terms

• Multiply the numerators

• Add the fractions

What mathematical operation is primarily used to simplify fractions in this tutorial?

• Addition

• Subtraction

• Multiplication

• Division

What is the greatest common factor of 30 and 45 used to simplify the fraction?

• 5

• 10

• 15

• 20

After simplifying, what fraction does 30/45 reduce to?

• 1/2

• 2/3

• 3/4

• 4/5

Why is dividing by the greatest common factor important in simplifying fractions?

• It makes the fraction easier to multiply

• It changes the fraction to a whole number

• It reduces the fraction to its simplest form

• It increases the value of the fraction

Which number is used to initially simplify the fraction 54/81?

• 9

• 6

• 12

• 3

What is the simplified form of 54/81?

• 6/9

• 3/4

• 2/3

• 1/2

Are the fractions 30/45 and 54/81 equivalent?

• Cannot be determined

• No

• Only if multiplied by 2

• Yes

What common factor is used to further simplify 6/9?

• 2

• 3

• 4

• 6

What is the final simplified form of both fractions discussed in the tutorial?

• 1/2

• 2/3

• 3/5

• 4/6