Simplifying Fractions and Factors

The video tutorial explains how to simplify fractions by finding the greatest common factor and using prime factorization. It also covers converting improper fractions to mixed numbers, emphasizing different methods for simplification and conversion.

What is the main goal when simplifying a fraction?

• To make the numerator larger than the denominator

• To ensure the only common factor between numerator and denominator is one

• To convert it into a decimal

• To make the denominator larger than the numerator

What is the first step in simplifying the fraction 64/56?

• Divide both by 8

• Multiply both by 2

• Divide both by 2

• Add 10 to both

After dividing 64 and 56 by 2, what common factor do 32 and 28 share?

• 3

• 5

• 4

• 2

What is the greatest common factor of 64 and 56?

• 4

• 10

• 6

• 8

What is the prime factorization of 64?

• 2^5

• 2^4 * 4

• 2^3 * 3

• 2^6

How many factors of 2 do 64 and 56 share?

• 4

• 3

• 1

• 2

What is the simplified form of the fraction 64/56?

• 8/7

• 7/8

• 4/3

• 3/4

What does the fraction bar represent in an improper fraction?

• Division

• Multiplication

• Subtraction

• Addition

What is the whole number part when converting 8/7 to a mixed number?

• 0

• 2

• 1

• 3

What is the fractional part when 8/7 is expressed as a mixed number?

• 1/7

• 4/7

• 3/7

• 2/7