Simplifying Fractions: Example Problems Explained

The video tutorial focuses on simplifying fractions, particularly identifying when a fraction is in its simplest form. It explains that a fraction is simplified when the greatest common factor is 1. The tutorial uses examples involving prime numbers and factors to illustrate these concepts. It emphasizes that if the numerator is a prime number and does not divide the denominator, the fraction is already simplified. The video concludes by encouraging practice with these concepts.

What does it mean for a fraction to be in its simplest terms?

• The numerator and denominator are both even numbers.

• The greatest common factor of the numerator and denominator is 1.

• The fraction is a mixed number.

• The fraction is greater than 1.

Which of the following pairs of numbers are both prime?

• 6 and 8

• 4 and 9

• 11 and 17

• 12 and 15

If a fraction has a prime numerator and the denominator is not divisible by the numerator, what can be concluded?

• The fraction can be simplified further.

• The fraction is a mixed number.

• The fraction is already in its simplest form.

• The fraction is an improper fraction.

What is the greatest common factor of 1 and 17?

• 0

• 11

• 17

• 1

Which of the following fractions is already in its simplest form?

• 10/20

• 4/8

• 3/32

• 6/18

What are the factors of 32?

• 1, 5, 10, 15, 20, 25

• 1, 3, 6, 9, 18, 27

• 1, 7, 14, 21, 28, 35

• 1, 2, 4, 8, 16, 32

If the numerator of a fraction is 5 and the denominator is 12, is the fraction simplified?

• Yes, because 5 is a prime number and does not divide 12.

• No, because 5 is not a prime number.

• Yes, because 12 is a prime number.

• No, because 5 divides 12.

Which of the following fractions cannot be simplified further?

• 10/20

• 8/16

• 5/12

• 9/18

What should you do if the numerator of a fraction is a prime number and does not divide the denominator?

• Simplify the fraction further.

• Convert the fraction to a mixed number.

• Leave the fraction as it is.

• Multiply the numerator and denominator by 2.

What is the main focus of the practice session in the video?

• Adding and subtracting fractions.

• Learning to convert fractions to mixed numbers.

• Identifying fractions that can and cannot be simplified.

• Multiplying fractions.