Understanding Equivalent Fractions and Comparisons

This lesson focuses on comparing fractions using equivalent fractions. It begins with an introduction to the concept and emphasizes the importance of having the same kind when comparing or combining fractions. The lesson uses a pizza analogy to explain equivalent fractions and provides examples of comparing fractions with different denominators. It also addresses a typo in a math problem and introduces the butterfly trick as a quick method for comparing fractions. The lesson concludes with practice exercises to reinforce the concepts learned.

Why is it important to have the same kind when comparing fractions?

• To ensure the fractions are equivalent

• To ensure the fractions are in simplest form

• To avoid using decimals

• To make calculations easier

What happens to a fraction when both the numerator and denominator are multiplied by the same number?

• The fraction becomes larger

• An equivalent fraction is created

• The fraction becomes a mixed number

• The fraction becomes smaller

In the example of two-fifths, what is the equivalent fraction when each part is multiplied by four?

• Four-twentieths

• Four-tenths

• Eight-twentieths

• Eight-tenths

What must be done to both the numerator and denominator to create an equivalent fraction?

• Multiply by the same number

• Subtract the same number

• Add the same number

• Divide by the same number

What was the typo in the JumpMath 7 example?

• The numerator was incorrect

• The fractions were not equivalent

• The multiplication result was incorrect

• The denominator was incorrect

What is the first step in comparing fractions using equivalent fractions?

• Add the fractions together

• Multiply both fractions by the same number

• Find a common denominator

• Find a common numerator

What is the main advantage of using the butterfly trick?

• It simplifies the process of finding equivalent fractions

• It allows for quick comparison without finding a common denominator

• It helps in adding fractions

• It is useful for converting fractions to decimals

When can the butterfly trick be used?

• Only when comparing fractions

• Only when multiplying fractions

• Only when subtracting fractions

• Only when adding fractions

What is the result of using the butterfly trick on three-quarters and five-sevenths?

• Three-quarters is greater than five-sevenths

• Three-quarters is equal to five-sevenths

• The fractions cannot be compared

• Three-quarters is less than five-sevenths

What is the key concept to remember when comparing or combining fractions?

• Fractions must be in simplest form

• Fractions must have the same kind

• Fractions must be mixed numbers

• Fractions must be improper