Fraction Operations and Simplification

The video tutorial explains how to divide fractions by converting the division into multiplication using reciprocals. It demonstrates this process with examples, showing how to simplify fractions using prime factorization and an alternative method. The tutorial also covers converting improper fractions to mixed numbers and emphasizes understanding common factors for simplification.

What is the reciprocal of a fraction c/d?

• d/c

• c/d

• c*d

• 1/(c*d)

How do you multiply two fractions?

• Divide the numerators and denominators

• Subtract the numerators and denominators

• Multiply the numerators and denominators

• Add the numerators and denominators

What is the first step in simplifying a fraction using prime factorization?

• Multiply the fractions

• Divide the fractions

• Find the prime factors of the numerator and denominator

• Add the fractions

What is 7/6 as a mixed number?

• 1 and 1/6

• 1 and 2/6

• 1 and 3/6

• 1 and 4/6

In the second example, what is the prime factorization of 12?

• 2 * 2 * 3

• 3 * 4

• 2 * 6

• 1 * 12

What is the result of simplifying 9/5 to a mixed number?

• 1 and 4/5

• 1 and 3/5

• 1 and 2/5

• 1 and 1/5

What common factor do 15 and 25 share?

• 15

• 10

• 5

• 3

How many fives are there in 25?

• 2

• 1

• 5

• 3

What is the simplified form of 12/25 times 15/4 using common factors?

• 12/5

• 9/5

• 15/5

• 18/5

What is the benefit of using prime factorization in simplifying fractions?

• It makes multiplication easier

• It helps identify all common factors

• It avoids division

• It reduces the number of steps