Simplifying Ratios and Fractions

The video tutorial explains how to simplify fractions using two methods: finding the greatest common factor and using prime factorization. It provides examples, such as simplifying 36/24 and 70/105, to illustrate these techniques. The tutorial emphasizes the importance of understanding multiplication tables and prime factorization to simplify fractions effectively, especially as numbers increase in size.

What is the first step in simplifying the ratio 36 to 24?

• Convert it to a decimal

• Find the greatest common factor

• Multiply both numbers by 2

• Add the numbers together

What is the greatest common factor of 36 and 24?

• 6

• 18

• 8

• 12

What is the prime factorization of 36?

• 2 x 2 x 3 x 3

• 2 x 2 x 2 x 3

• 2 x 3 x 3

• 3 x 3 x 3

How does prime factorization help in simplifying fractions?

• It makes the numbers larger

• It identifies common factors easily

• It converts fractions to decimals

• It eliminates the need for division

What is the simplified form of the fraction 36/24?

• 5/4

• 4/3

• 3/2

• 2/3

What is the first step in simplifying the fraction 70/105?

• Subtract 5 from both

• Multiply both by 5

• Find the greatest common factor

• Divide both by 10

What is the greatest common factor of 70 and 105?

• 35

• 15

• 10

• 5

What is the prime factorization of 70?

• 2 x 5 x 7

• 3 x 5 x 7

• 2 x 3 x 5

• 5 x 5 x 7

What is the simplified form of the fraction 70/105?

• 7/10

• 3/5

• 5/7

• 2/3

Which method is more effective for simplifying larger numbers?

• Prime factorization

• Using decimals

• Adding the numbers

• Multiplying the numbers