Fraction Division

Division asks: how many groups or how much in each group?

Example: 6 ÷ 2 means split 6 into 2 equal groups.

6 ÷ 2 = 3

Dividing by a number n is the same as multiplying by 1 / n.

÷ n means x1n

For example, ÷ 3 means x13

So, 12 ÷ 3 = 12 x13 = 4

Let’s divide a fraction by a whole number:

12 ÷ 2

Change division into multiplication:

12 × 12

The reciprocal flips a fraction:

23 → 32

Dividing by a fraction means multiplying by its reciprocal.

Example:

34 ÷ 25

Flip the second fraction:

34 × 52

Multiplication and division are opposites.

Dividing by a fraction asks: “How many of these fit?”

Multiplying by the reciprocal gives the same result.

Fraction division is not new math.

It is just fraction multiplication in disguise.

Flip and Multiply!