Deep knowledge of dividing fractions!

Dividing fractions is not hard. Instead, it 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.

Dividend and divisor are mostly used when doing long division. When we divide complex fractions, these terms can be used as well to describe the problem.

More on complex fractions below and here

Now take a look at the following fraction problem

(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. This is a very simple example of complex fraction. Complex fractions can look a lot more complicated than this

Here with this complex fraction, the dividend is 2/5 and the divisor is 4/3

When you divide a fraction by another, 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 × 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

Another Example:

(3/8) ÷ (3/4) = 3/8 × (4/3) = 12/24 = 1/2

Take the dividing fractions quiz to see how well you can divide fractions. 

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