Reciprocals and Improper Fractions

In this video, Mr. J explains how to find the reciprocal of a mixed number. He demonstrates the process using two examples: 8 1/2 and 3 6/7. The steps involve converting the mixed number to an improper fraction and then flipping it to get the reciprocal. Mr. J also shows that multiplying a number by its reciprocal results in one. The video concludes with a summary of the process.

What is the result when a number is multiplied by its reciprocal?

• Infinity

• One

• Zero

• The number itself

What is the first step in finding the reciprocal of a mixed number?

• Multiply the whole number by the fraction

• Divide the fraction by the whole number

• Convert it to an improper fraction

• Add the whole number and fraction

What is the improper fraction form of 8 and a half?

• 17/2

• 18/2

• 16/2

• 15/2

What is the reciprocal of 8 and a half?

• 2/17

• 17/8

• 17/2

• 8/17

What is the improper fraction form of 3 and six sevenths?

• 21/7

• 27/7

• 24/7

• 30/7

What is the reciprocal of 3 and six sevenths?

• 7/27

• 27/7

• 6/27

• 3/7

How do you verify that a fraction and its reciprocal are correct?

• By adding them

• By multiplying them

• By subtracting them

• By dividing them

What is the result of multiplying 27/7 by its reciprocal?

• 7/189

• 189/189

• 1/189

• 27/189

What is the significance of converting a mixed number to an improper fraction?

• It simplifies the number

• It allows for easy addition

• It helps in finding the reciprocal

• It makes the number larger

What is the final step in finding the reciprocal of a mixed number?

• Add the numerator and denominator

• Subtract the denominator from the numerator

• Flip the improper fraction

• Multiply the numerator by the denominator