Understanding Reciprocals and Improper Fractions

The video tutorial explains how to find the reciprocal of a mixed number, specifically 2 and 4/5. It begins by converting the mixed number into an improper fraction, 14/5, by multiplying the whole number by the denominator and adding the numerator. The tutorial then demonstrates how to find the reciprocal by flipping the numerator and denominator, resulting in 5/14.

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

• Convert it to a decimal

• Convert it to an improper fraction

• Multiply the whole number by the fraction

• Add the whole number to the fraction

How do you convert 2 and 4/5 into an improper fraction?

• Multiply 2 by 5 and add 4

• Multiply 4 by 5 and add 2

• Add 2 and 4, then multiply by 5

• Divide 4 by 5 and add 2

What is the improper fraction form of 2 and 4/5?

• 16/5

• 10/5

• 12/5

• 14/5

Why is 14/5 considered an improper fraction?

• The fraction is not simplified

• The numerator is larger than the denominator

• The numerator is equal to the denominator

• The numerator is smaller than the denominator

What is the reciprocal of 14/5?

• 5/14

• 4/5

• 14/5

• 10/5

What operation is performed to find the reciprocal of a fraction?

• Multiply the numerator by the denominator

• Flip the numerator and denominator

• Subtract the denominator from the numerator

• Add the numerator and denominator

After finding the reciprocal, what should the new fraction be for 14/5?

• 14/5

• 10/5

• 5/14

• 4/5