Respuesta :

[tex]\frac{3}{5}[/tex] is the reduced form for the given expression

Step-by-step explanation:

Given:

          [tex]\frac{8}{10} \times \frac{3}{4}[/tex]

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

First check fraction: [tex]\frac{3}{4}[/tex]

The [tex]\frac{3}{4}[/tex] 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:  [tex]\frac{8}{10}[/tex]

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

                     [tex]\frac{4 \times 2}{5 \times 2}=\frac{4}{5}[/tex]

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

                   [tex]\frac{4}{5} \times \frac{3}{4}=\frac{3}{5}[/tex] (‘4’ gets cancelled as common in both numerator and denominator)