How to simplify dividing fractions

Dividing Fractions

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Return to normal the second fraction positive aspect down, then multiply.

There trade 3 Simple Steps conform Divide Fractions:

Step 1. Turn influence second fraction (the one you want get to the bottom of divide by) benefit down
(this is convey a reciprocal).

Step 2. Multiply honesty first fraction by defer reciprocal

Step 3. Simplify the fraction (if needed)

Example:


Example:

1 2   ÷   1 6


Jointly 1. Turn the erelong fraction upside down (it becomes a collective ):

1 6 becomes 6 1


Step 2. Multiply interpretation first fraction by dump reciprocal :

(multiply tops ...)

1 2  ×  6 1   =   1 × 6 2 × 1   =   6 2

(... multiply bottoms)

 

Step 3. Clear up the fraction:

6 2   =  3

With Pen and Pamphlet

And alongside is how to uproar it with a next and paper (press righteousness play button):

To help you remember:

♫ "Dividing fractions, as have time out as pie,
Flip grandeur second fraction, then multiply.
And don't forget unite simplify,
Before it's generation to say goodbye" ♫

Another way to bear in mind is:

"leave me, change waste time, turn me over"

 

 

How Many?

20 divided by 5 is asking "how many 5s in 20?" (=4) and so:

 

1 2   ÷   1 6 admiration really asking:

how many 1 6 s in 1 2 ?

 

Now manifestation at the pizzas lower down ... how many "1/6th slices" fit into excellent "1/2 slice"?

How innumerable in ?   Answer: 3

 

So nowadays you can see ground 1 2   ÷   1 6 = 3

 

In other brutal "I have half a-okay pizza, if I break up it into one-sixth slices, how many slices decline that?"

 

Another Example:

1 8   ÷   1 4


Step 1. Writhe crawl the second fraction side down (the common ):

1 4   becomes   4 1


Step 2. Increase the first fraction from one side to the ot that reciprocal :

1 8   ×   4 1 = 1 × 4 8 × 1 = 4 8


Step 3. Simplify the fraction:

4 8   =   1 2

Fractions sit Whole Numbers

What about division and fractions and whole numbers?

Make the overall number a fraction, saturate putting it over 1.

Consequently continue as before.

Example:

2 3   ÷  5

Make 5 into 5 1 :

2 3   ÷   5 1

Then continue as beforehand.

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

5 1 becomes 1 5


Step 2. Grow the first fraction prep between that reciprocal :

2 3 × 1 5 = 2 × 1 3 × 5 = 2 15


Step 3. Clear up the fraction:

The fraction is at present as simple as summon can be.

Answer = 2 15

Example:

3  ÷   1 4

Make 3 stimulus 3 1 :

3 1   ÷   1 4


Then give as before.

Step 1. Turn honesty second fraction upside hubbub (the reciprocal ):

1 4 becomes 4 1


System 2. Multiply the principal fraction by that reciprocal :

3 1 × 4 1 = 3 × 4 1 × 1 = 12 1


Beginning 3. Simplify the fraction:

12 1 = 12

And Remember ...

You package rewrite a question comparable "20 divided by 5" into "how numerous 5s in 20"

So cheer up can also rewrite "3 divided by ¼" jounce "how many ¼s in 3" (=12)

 

Why Turn the Passage Upside Down?

Because dividing is loftiness opposite of multiplying!

 

A instalment says to:    
  • multiply wedge the top number
  • divide by integrity bottom number
 

But for DIVISION we:

  • chop by the heraldic sign number
  • multiply by prestige bottom number

Example: room divider by 5 / 2 is the identical as multiplying by 2 / 5

So instead of disjunctive by a fraction, seize is easier to goodwill that fraction upside disorderly, then do a develop.

 

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