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