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

You are watching: How can division be represented by using a fraction

Step 2. Main point the very first fraction by that reciprocalStep 3. Leveling the portion (if needed)


Example:

12 ÷ 16

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

16 becomes 61

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

(multiply tops ...)

12×61 = 1 × 62 × 1 = 62

(... Main point bottoms)

Step 3. Simplify the fraction:

62 = 3


With Pen and also Paper

And right here is how to carry out it with a pen and document (press the pat button):

To help you remember:

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

Another way to mental is:

"leave me, adjust me, rotate me over"

*


How Many?

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

12 ÷ 16 is really asking:

how countless 16s in 12 ?

Now look at the pizzas listed below ... How numerous "1/6th slices" fit 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 fifty percent a pizza, if I divide 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 i do not care 41

Step 2. Main point the an initial fraction by the reciprocal:

18 × 41 = 1 × 48 × 1 = 48

Step 3. Leveling the fraction:

48 = 12


Fractions and also Whole Numbers

What about department with fountain and entirety numbers?

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


Example:

23 ÷ 5

Make 5 into 51 :

23 ÷ 51

Then proceed as before.

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

51 i do not care 15

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

23 × 15 = 2 × 13 × 5 = 215

Step 3. Simplify the fraction:

The fraction is currently as straightforward as it have the right to be.

Answer = 215


Example:

3 ÷ 14

Make 3 right into 31 :

31 ÷ 14

Then proceed as before.

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

14 i do not care 41

Step 2. Main point the an initial fraction by that reciprocal:

31 × 41 = 3 × 41 × 1 = 121

Step 3. Simplify the fraction:

121 = 12


And psychic ...

See more: What Is The True Story Of The Three Little Pigs Moral Lesson

You have the right to rewrite a question like "20 divided by 5" into "how many 5s in 20"

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


Why rotate the portion Upside Down?

Because separating is the contrary of multiplying!

A fraction says to:
multiply by the height numberdivide by the bottom number
*

But because that DIVISION we:

divide through the peak numbermultiply by the bottom number

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

*


So instead of separating by a fraction, that is simpler to turn that portion upside down, then carry out a multiply.


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