Comparing and Identifying Equivalent Fractions

If two fractions have the same denominator, how does the size of the numerator affect their comparison?

• Cannot be determined without additional information.

• The fraction with the larger numerator is greater.

• The fractions are always equal.

• The fraction with the smaller numerator is greater.

If you have two fractions with the same denominator, which fraction is larger if one has a numerator of 3 and the other has a numerator of 1?

• Both fractions are equal

• The fraction with numerator 1

• Cannot determine without knowing the denominator

• The fraction with numerator 3

What happens when fractions have the same numerator but different denominators?

• The fraction with the larger denominator is greater.

• The fraction with the smaller denominator is greater.

• Cannot be determined without additional information.

• The fractions are always equal.

How does the size of the denominator affect the size of the pieces in a fraction if the numerator remains constant?

• Depends on the size of the numerator

• Larger denominator means smaller pieces

• Size of pieces does not change

• Larger denominator means larger pieces

In comparing fractions with like numerators, which fraction is larger: 3/5 or 3/7?

• 3/5

• 3/7

• Both are equal

• Cannot be determined

What does it mean if a fraction is missing a piece in a visual model?

• The missing piece represents the fraction itself

• The missing piece is irrelevant to the fraction's value

• The missing piece must be considered to understand the fraction's value

• The missing piece indicates the fraction is incomplete

What is the primary purpose of the butterfly trick in fraction comparison?

• To find a common denominator

• To quickly multiply cross-numbers for comparison

• To simplify the fractions

• To visually represent the fractions

What is the result of multiplying the numerators and denominators of two fractions in the butterfly trick?

• Simplifies the fractions

• Creates a new fraction

• None of the above

• Determines which fraction is larger

When comparing 3/4 and 7/9 by making equivalent fractions, what common denominator is used?

• 72

• 36

• 12

• 18

Why is it important to understand the concept of equivalent fractions in math?

• To simplify addition of fractions

• To compare fractions effectively

• To divide fractions

• To multiply fractions