Question

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

Answer 1

`(3)/(5)` is the reduced form for the given expression

Explanation:

Given:

`(8)/(10) * (3)/(4)`

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

First check fraction:
`(3)/(4)`

The
`(3)/(4)` 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:
`(8)/(10)`

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

`(4 * 2)/(5 * 2)=(4)/(5)`

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

`(4)/(5) * (3)/(4)=(3)/(5)` (‘4’ gets cancelled as common in both numerator and denominator)