Step 1. Turn the second portion (the one you want to division by) upside down(this is currently a reciprocal).

You are watching: 1/2 divided by 6

Step 2. Multiply the very first fraction by the reciprocalStep 3. Simplify the fraction (if needed)


Example:

12 ÷ 16

Step 1. Rotate the second fraction upside down (it i do not care a reciprocal):

16 becomes 61

Step 2. Multiply the first fraction by the reciprocal:

(multiply top ...)

12×61 = 1 × 62 × 1 = 62

(... Main point bottoms)

Step 3. Leveling the fraction:

62 = 3


With Pen and also Paper

And below is exactly how to execute it through a pen and file (press the play button):

To aid you remember:

♫ "Dividing fractions, as easy as pie,Flip the 2nd fraction, climate multiply.And don"t forget to simplify,Before it"s time come say goodbye" ♫

Another method to psychic is:

"leave me, adjust me, rotate me over"

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How Many?

20 separated by 5 is asking "how plenty of 5s in 20?" (=4)andso:

12 ÷ 16 is yes, really asking:

how plenty of 16s in 12 ?

Now look in ~ the pizzas below ... How many "1/6th slices" fit right into a "1/2 slice"?

How many
*
in
*
? Answer: 3

So now you deserve to see why 12 ÷ 16 = 3

In various other words "I have half a pizza, if I division it right into one-sixth slices, how countless slices is that?"


Another Example:

18 ÷ 14

Step 1. Revolve the second portion upside down (the reciprocal):

14 becomes 41

Step 2. Main point the first fraction by the reciprocal:

18 × 41 = 1 × 48 × 1 = 48

Step 3. Simplify the fraction:

48 = 12


Fractions and Whole Numbers

What about department with fractions and whole numbers?

Make the whole number a fraction, by putting it over 1.


Example:

23 ÷ 5

Make 5 into 51 :

23 ÷ 51

Then continue as before.

Step 1. Rotate the second fraction upside under (the reciprocal):

51 becomes 15

Step 2. Multiply the very first fraction by the reciprocal:

23 × 15 = 2 × 13 × 5 = 215

Step 3. Simplify the fraction:

The fraction is already as basic as it deserve to be.

Answer = 215


Example:

3 ÷ 14

Make 3 into 31 :

31 ÷ 14

Then continue as before.

Step 1. Rotate the second portion upside down (the reciprocal):

14 i do not care 41

Step 2. Multiply the very first fraction by that reciprocal:

31 × 41 = 3 × 41 × 1 = 121

Step 3. Simplify the fraction:

121 = 12


And mental ...

See more: What Does " 6 Foot 7 Foot 8 Foot Bunch, 6 Foot 7 Foot

You deserve to rewrite a question prefer "20 split by 5" right into "how countless 5s in 20"

So friend can also rewrite "3 divided by ¼" into "how many ¼s in 3" (=12)


Why turn the fraction Upside Down?

Because splitting is the contrary of multiplying!

A portion says to:
multiply through the top numberdivide by the bottom number
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But for DIVISION we:

divide through the height numbermultiply through the bottom number

Example: dividing by 5/2 is the very same as multiply by 2/5

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So rather of splitting by a fraction, the is less complicated to revolve that portion upside down, then execute a multiply.


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