Understanding Equivalent Fractions and Ratios

The video tutorial explains the concept of equivalent ratios, also known as equivalent fractions, using the example of two-thirds. It demonstrates how multiplying the numerator and denominator by the same number results in equivalent fractions. The tutorial covers examples of multiplying by two, three, and four, showing that these operations yield fractions that are equivalent to two-thirds. The video concludes by emphasizing that two-thirds is in its simplest form.

What is an equivalent ratio?

• A ratio that is unrelated to the original

• A ratio that has the same value as the original but is represented differently

• A ratio that is less than the original

• A ratio that is greater than the original

How can you create an equivalent fraction?

• By adding the same number to the numerator and denominator

• By subtracting the same number from the numerator and denominator

• By multiplying the numerator and denominator by the same number

• By dividing the numerator and denominator by different numbers

What is the equivalent fraction of two-thirds when both the numerator and denominator are multiplied by two?

• 6/8

• 5/7

• 4/6

• 3/5

What is the decimal value of the fraction 4/6?

• 0.75

• 0.8

• 0.5

• 0.66

What is the equivalent fraction of two-thirds when both the numerator and denominator are multiplied by three?

• 9/12

• 8/11

• 7/10

• 6/9

What is the decimal value of the fraction 6/9?

• 0.75

• 0.8

• 0.5

• 0.66

What is the equivalent fraction of two-thirds when both the numerator and denominator are multiplied by four?

• 9/13

• 10/14

• 8/12

• 11/15

What is the decimal value of the fraction 8/12?

• 0.75

• 0.66

• 0.5

• 0.8

Which of the following fractions is not equivalent to two-thirds?

• 4/6

• 6/9

• 5/8

• 8/12

What is the simplest form of the fraction 8/12?

• 5/6

• 4/5

• 3/4

• 2/3