What is the reduce from of 8/10 *3/4 can you walk me through it

is the reduced form for the given expression

Step-by-step explanation:

Given:

Divide the numerator and denominator by the largest common factor so that the fraction presents in the simplest or reduced form.

First check fraction:

The fraction is also referred as the irreducible fraction, which means that it can no longer be reduced or simplified. The simplest form, numbers 3 and 4, fraction numerator and denominator are numbers of co-prime and without common factors other than 1.

Secondly, check fraction:  

Here, ‘2’ is the greatest common factor to both ‘8’ and ‘10’. So, it can be written as

Now, multiply the simplified form of both fractions, we get

                    (‘4’ gets cancelled as common in both numerator and denominator)

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

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