Visually dividing a fraction by a whole number | Summary and Q&A

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November 19, 2017
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Khan Academy
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Visually dividing a fraction by a whole number

TL;DR

Division of fractions can be understood conceptually by visualizing the fractions and dividing them into equal sections.

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Questions & Answers

Q: How can we conceptually understand division of fractions?

One way to understand division of fractions is by visualizing the fractions and dividing them into equal sections. This helps us determine the numerical value of the division.

Q: What is the result of dividing 2/3 by 5 using this conceptual approach?

Dividing 2/3 by 5 using the visual representation shows that it is equal to 2/15.

Q: What is another method to calculate the division of fractions?

Another method is by multiplying the numerator of the first fraction by the reciprocal of the second fraction. In this case, 2/3 divided by 5 can be calculated as 2/3 times the reciprocal of 5/1, which is 1/5.

Q: Why is dividing by a number the same as multiplying by its reciprocal?

Dividing by a number is equivalent to multiplying by the reciprocal because when we swap the numerator and denominator, the fraction represents the reciprocal value. This property is helpful in simplifying division operations with fractions.

Summary & Key Takeaways

  • The video demonstrates a conceptual approach to dividing 2/3 by 5 by visually representing the fractions and dividing them into equal sections.

  • By dividing 2/3 into five equal sections, each representing 1/15, it is determined that 2/3 divided by 5 is equal to 2/15.

  • Another approach to division of fractions is by multiplying the numerator of the first fraction by the reciprocal of the second fraction, which results in 1/5.

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