Step 1. Rotate the second fraction (the one you desire to division by) upside down(this is now a reciprocal).

You are watching: 20 divided by 1/5

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


Example:

12 ÷ 16

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

16 i do not care 61

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

(multiply tops ...)

12×61 = 1 × 62 × 1 = 62

(... Multiply bottoms)

Step 3. Leveling the fraction:

62 = 3


With Pen and Paper

And here is just how to execute it v a pen and record (press the beat button):

To help you remember:

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

Another method to mental is:

"leave me, readjust me, revolve me over"

*


How Many?

20 divided by 5 is asking "how numerous 5s in 20?" (=4)andso:

12 ÷ 16 is yes, really asking:

how plenty of 16s in 12 ?

Now look at the pizzas below ... How countless "1/6th slices" fit into a "1/2 slice"?

How many
*
in
*
? Answer: 3

So now you can see why 12 ÷ 16 = 3

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


Another Example:

18 ÷ 14

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

14 becomes 41

Step 2. Multiply the first fraction by that reciprocal:

18 × 41 = 1 × 48 × 1 = 48

Step 3. Leveling the fraction:

48 = 12


Fractions and also Whole Numbers

What about division with fractions and totality numbers?

Make the entirety number a fraction, by placing it over 1.


Example:

23 ÷ 5

Make 5 right into 51 :

23 ÷ 51

Then proceed as before.

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

51 i do not care 15

Step 2. Multiply the an initial fraction by the reciprocal:

23 × 15 = 2 × 13 × 5 = 215

Step 3. Simplify the fraction:

The portion is already as straightforward 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. Main point the very first fraction by the reciprocal:

31 × 41 = 3 × 41 × 1 = 121

Step 3. Leveling the fraction:

121 = 12


And mental ...

See more: How Many Cups Is 10 Oz Of Spinach In A Cup Of Spinach Weigh?

You deserve to rewrite a question favor "20 separated by 5" into "how many 5s in 20"

So you can additionally rewrite "3 divided by ¼" right into "how countless ¼s in 3" (=12)


Why revolve the portion Upside Down?

Because splitting is the opposite of multiplying!

A portion says to:
multiply by the optimal numberdivide by the bottom number
*

But because that DIVISION we:

divide by the optimal numbermultiply by the bottom number

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

*


So instead of dividing by a fraction, the is easier to revolve that portion upside down, then perform a multiply.


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