Maths Fractions and Decimals part 13 (Division of Fraction : Reciprocal of Fraction) CBSE Class 7 | Summary and Q&A

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September 27, 2016
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Maths Fractions and Decimals part 13 (Division of Fraction : Reciprocal of Fraction) CBSE Class 7

TL;DR

Learn how to divide fractions by multiplying the dividend by the reciprocal of the divisor.

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Key Insights

  • ➗ Division of fractions is used in real-life scenarios, such as sharing and dividing quantities.
  • ➗ Dividing fractions can be easier by converting the division into multiplication using the reciprocal of the divisor.
  • ❓ The reciprocal of a fraction is found by swapping the numerator and denominator.
  • 🗂️ When dividing fractions, multiply the dividend by the reciprocal of the divisor.
  • ➗ Division by 0 is undefined and should be avoided.
  • ➗ Understanding division of fractions helps in solving real-world problems involving sharing or dividing resources.
  • 🙃 Turning the divisor upside down and multiplying is a simple way to perform division of fractions.

Transcript

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Questions & Answers

Q: Why do we need to divide fractions?

Division of fractions is necessary in real-life scenarios such as sharing resources or dividing quantities, like in the example of sharing a chocolate bar among friends.

Q: What is the relationship between division and multiplication of fractions?

Dividing fractions can be seen as multiplying the dividend by the reciprocal of the divisor. This relationship is similar to dividing whole numbers, where dividing is the same as multiplying by the inverse.

Q: How do you find the reciprocal of a fraction?

To find the reciprocal of a fraction, simply swap the numerator and denominator. For example, the reciprocal of 3 is 1/3, and the reciprocal of 5/7 is 7/5.

Q: What happens when the divisor is 0?

The reciprocal of 0 is not defined, so division by 0 is not possible. In such cases, division is undefined.

Summary & Key Takeaways

  • This video explains the concept of dividing fractions using a relatable example of sharing a chocolate bar among friends.

  • The divisor, or the number you are dividing by, plays a crucial role in division of fractions.

  • To divide fractions, you invert the divisor and multiply it by the dividend, following the same rules as dividing whole numbers.

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