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Deep knowledge of dividing fractions!



Dividing fractions is very straightforward once you know how to multiply fractions




It is important to explain a thing or two before showing you how to divide fractions.

Look at this fraction 2/3

In the lesson about fractions, we called 2 the numerator and 3 the denominator.

You can also call 2 the dividend and 3 the divisor.

These terms are used when doing long division; When we divide fractions, these are also used to describe the operation.

Now,look at the fractions (2/5) /(4/3)

I put parentheses to avoid confusion, but, basically, what you have is a fraction divided by another fraction.

Whenever a fraction is divided by another, we call this a complex fraction.

Here, the dividend is 2/5 and the divisor is 4/7

When you divide fractions,invert the divisor and multiply the inverted divisor by the dividend.

The inverted divisor is called the reciprocal

Inverting a fraction means that your numerator will become your denominator and your denominator will become your numerator

example: invert 2/3

You get 3/2

Now try to do (2/5)/(4/3)

(2/5)/(4/3) = 2/5 times 3/4 = 6/20

To simplify 6/20, get the greatest common factor of 6 and 20.

GCF(6,20) = 2

Divide both numerator and denominator by 2

You get 3/10

Example: (3/8)/(3/4)= 3/8 times (4/3)=12/24=1/2

I made a calculator. Use it to practice.


                      
                  

    




Fun math game: Solve a math problem and then eat the math man






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