Fraction Operations and Reciprocals

The video tutorial explains how division can be rewritten as multiplication by the reciprocal. It provides examples with whole numbers and fractions, demonstrating that dividing by a number is equivalent to multiplying by its reciprocal. The process is generalized for both whole numbers and fractions, showing that division can be consistently approached as multiplication by the reciprocal, often referred to as 'invert and multiply'.

How can the division of 20 by 4 be rewritten?

• As 4 times 1/20

• As 4 times 20

• As 20 times 1/4

• As 20 times 4

What is the result of 20 divided by 4?

• 4

• 8

• 5

• 6

How is 20 times 1/4 represented on a number line?

• As 21/4 bars

• As 20 bars

• As 10 bars

• As 5 bars

What is the result of multiplying 1/4 by 20?

• 4

• 5

• 6

• 8

What does dividing 20 by 4 give the same result as?

• Dividing 4 by 20

• Multiplying 20 by 1/4

• Dividing 20 by 1/4

• Multiplying 20 by 4

What is the reciprocal of 4?

• 2

• 1/2

• 4

• 1/4

How is 1/4 of a 20 bar represented on a number line?

• As 5

• As 10

• As 15

• As 20

What is the equivalent expression for dividing a number p by a non-zero number n?

• p times n

• n times 1/p

• p times 1/n

• n times p

What is the reciprocal of 3/4?

• 4/3

• 1/4

• 1/3

• 3/4

How can 1/2 divided by 3/4 be rewritten?

• As 4/3 times 1/2

• As 3/4 times 1/2

• As 1/2 times 4/3

• As 1/2 times 3/4