Equivalent Fractions Across Different Wholes

The video tutorial explains the concept of equivalent fractions using visual aids. It starts by demonstrating how multiplying the numerator and denominator of a fraction by the same number results in an equivalent fraction, using 1/3 and 2/6 as examples. The tutorial emphasizes the importance of comparing fractions of the same whole and illustrates this with visual examples. It also explores the equivalence of 6/8 and 3/4, highlighting the need for fractions to be of the same size to be comparable. The video concludes by reinforcing the understanding of equivalent fractions through various visual representations.

What happens when you multiply both the numerator and denominator of 1/3 by 2?

• It becomes 2/6

• It becomes 1/6

• It becomes 3/9

• It remains 1/3

Why is 1/3 considered equivalent to 2/6?

• Because 1/3 is visually larger than 2/6

• Because they represent the same portion of different wholes

• Because they represent different portions of a whole

• Because they represent the same portion of the same whole

Why can't 1/3 of a smaller figure be equivalent to 2/6 of a larger figure?

• Because they represent portions of different wholes

• Because they represent the same portion of the same whole

• Because 1/3 is always smaller than 2/6

• Because the figures are of different shapes

What is necessary for two fractions to be considered equivalent?

• They must have the same denominator

• They must represent the same portion of the same whole

• They must represent different portions of the same whole

• They must represent the same portion of different wholes

Why is it incorrect to compare fractions of different wholes?

• Because they can't represent the same portion accurately

• Because it changes the shape of the fractions

• Because it violates mathematical principles

• Because it makes the fractions automatically equivalent

What is the result of dividing both the numerator and denominator of 6/8 by 2?

• It becomes 6/16

• It remains 6/8

• It becomes 3/4

• It becomes 12/8

Why is the visual representation of 6/8 not equivalent to 3/4 in some cases?

• Because they are of different shapes

• Because they represent the same portion of different sized wholes

• Because 6/8 is larger than 3/4

• Because the fractions are not simplified

Why do certain visual representations fail to show fraction equivalence accurately?

• Because they use different colors

• Because they represent fractions of different sizes

• Because they use complex shapes

• Because they don't divide the shapes equally

How can 6/8 be visually equivalent to 3/4?

• By representing them in different shapes of the same size

• By representing them in the same shape and size

• By representing them in the same shape but different sizes

• By representing them in different shapes

What demonstrates the visual equivalence of 6/8 and 3/4 correctly?

• Using two different shapes and dividing them differently

• Using the same shape but shading different proportions

• Dividing a shape into 8 and 4 parts respectively and shading the same area

• Shading more area in 6/8 than in 3/4