Adding and Simplifying Fractions

The video tutorial explains how to add fractions by finding a common denominator. It provides two examples: adding 3/5 and 1/6 by finding the least common multiple of 5 and 6, and adding 12/27 and 2/9 using prime factorization. The tutorial emphasizes the importance of rewriting fractions with a common denominator and simplifying the result. The video concludes with a preview of the next example to be covered in a subsequent video.

What is the first step in adding fractions?

• Find a common numerator

• Find a common denominator

• Subtract the fractions

• Multiply the fractions

In the first example, what is the least common multiple of 5 and 6?

• 15

• 25

• 20

• 30

How do you rewrite the fraction 3/5 to have a denominator of 30?

• Multiply by 3/3

• Multiply by 6/6

• Multiply by 5/5

• Multiply by 2/2

What is the sum of 18/30 and 5/30?

• 23/30

• 25/30

• 24/30

• 22/30

What is the least common multiple of 9 and 27 in the second example?

• 18

• 45

• 27

• 36

How is the fraction 12/27 rewritten using prime factorization?

• 12 over 2 times 3

• 12 over 2 times 2

• 12 over 3 times 3

• 12 over 3 times 3 times 3

What additional factor is needed to make the denominators the same in the second example?

• Factor of 5

• Factor of 4

• Factor of 3

• Factor of 2

What is the sum of 12/27 and 6/27?

• 17/27

• 16/27

• 18/27

• 19/27

What is the prime factorization of 18?

• 2 times 2 times 2

• 2 times 2 times 3

• 3 times 3 times 3

• 2 times 3 times 3

What is the simplified form of 18/27?

• 3/4

• 2/3

• 4/5

• 1/2