Step 1. Rotate the second portion (the one you want to division by) upside down(this is now a reciprocal).You are watching: 1/2 divided by 1/6Step 2. Multiply the first fraction by the reciprocalStep 3. Leveling the portion (if needed)

### Example:12 ÷ 16

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

16 i do not care 61

Step 2. Multiply the an initial fraction by that 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 here is just how to carry out it v a pen and document (press the beat button):

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

 Another way to remember is:"leave me, readjust me, rotate me over" ### How Many?

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

12 ÷ 16 is yes, really asking:

how numerous 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 currently you have the right to see why 12 ÷ 16 = 3

In other words "I have half a pizza, if I divide it right into one-sixth slices, how plenty of slices is that?"

### Another Example:18 ÷ 14

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

14 i do not care 41

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

18 × 41 = 1 × 48 × 1 = 48

Step 3. Simplify the fraction:

48 = 12

## Fractions and also Whole Numbers

What about department with fractions and whole numbers?

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

### Example:23 ÷ 5

Make 5 right into 51 :

23 ÷ 51

Then continue as before.

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

51 i do not care 15

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

23 × 15 = 2 × 13 × 5 = 215

Step 3. Leveling the fraction:

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

### Example:3 ÷ 14

Make 3 into 31 :

31 ÷ 14

Then proceed as before.

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:

31 × 41 = 3 × 41 × 1 = 121

Step 3. Leveling the fraction:

121 = 12

### And mental ...See more: What Causes The Difference In Bond Angles In Carbon Dioxide And Water?

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

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

### Why turn the portion Upside Down?

Because splitting is the contrary of multiplying!

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

divide by the top numbermultiply by the bottom number

### Example: separating by 5/2 is the exact same as multiplying by 2/5 So rather of splitting by a fraction, that is easier to turn that fraction upside down, then carry out a multiply.

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