Exploring the Relationship Between Fraction Multiplication and Division

The video tutorial explains the relationship between multiplication and division, starting with basic whole numbers and extending to fractions. It demonstrates how division can be expressed as multiplication and vice versa, using examples with both numbers and variables. The tutorial aims to deepen understanding of these mathematical concepts by showing their interconnections.

What is the result of dividing 18 by 3?

• 3

• 12

• 6

• 9

If 3 times 6 equals 18, what does 18 divided by 6 equal?

• 2

• 6

• 9

• 3

What is the result of 1/4 divided by 2?

• 2

• 1/8

• 1/2

• 1/4

How can 1/4 divided by 2 be expressed using multiplication?

• 1/8 times 2 equals 1/4

• 1/4 times 2 equals 1/8

• 1/2 times 2 equals 1/4

• 1/4 times 1/2 equals 1/8

How can the division of fractions be converted into multiplication?

• By subtracting the denominator

• By dividing the numerator

• By multiplying the reciprocal

• By adding the fractions

If 42 equals 7 divided by 1/6, how can this be expressed using multiplication?

• 1/6 times 7 equals 42

• 7 times 1/6 equals 42

• 42 times 1/6 equals 7

• 42 divided by 7 equals 1/6

If dividing a number by a fraction, how can it be expressed in multiplication?

• Multiply by the reciprocal of the fraction

• Multiply by the fraction directly

• None of the above

• Divide by the reciprocal of the fraction

What is the multiplication equivalent of dividing 1/4 by 6?

• 1/24

• 1/4 times 6

• 1/4 divided by 6

• 6 times 1/24

What does 1/4 divided by 6 equal if represented by 't'?

• t divided by 6 equals 1/4

• t times 6 equals 1/4

• 6 times t equals 1/4

• 1/4 times 6 equals t

If 't' times 6 equals 1/4, what is 't'?

• 1/24

• 1/12

• 1/4

• 1/8