# Equivalent fraction word problem example 3 | Fractions | Pre-Algebra | Khan Academy | Summary and Q&A

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August 8, 2013
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Equivalent fraction word problem example 3 | Fractions | Pre-Algebra | Khan Academy

## TL;DR

Determine which friend's colored strip has the same fraction as the provided strip through division and multiplication.

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### Q: How do you determine which friend has colored the same fraction as you?

By comparing the fractions, dividing and multiplying to find equivalent fractions, it is determined that Micah has colored the same fraction as you.

### Q: Why can't you determine equivalence with Joelle's strip?

Joelle has colored a different number of sections than you, making it impossible to find an equivalent fraction through multiplication or division.

### Q: What about Holden's and Kate's strips?

The fractions of colored sections on both Holden's and Kate's strips cannot be scaled to an equivalent fraction with the same numerator and denominator.

### Q: How does dividing sections and colors help determine equivalence?

Dividing sections helps create equal groups for comparison, while dividing colors helps evaluate the fraction of each color. Multiplying by common factors can then lead to finding equivalent fractions.

## Summary & Key Takeaways

• You and your friends are given identical strips of paper to color for name cards at dinner.

• Each friend colors a different fraction of their strip with a specific color.

• By dividing and multiplying the fractions, it is determined that only one friend, Micah, has colored the same fraction as you.