Respuesta :

Write the numerator 5 as 5*1

So we have 5/6 = (5*1)/6

We can then pull the 5 out and say (5*1)/6 = 5*(1/6)

The fraction 5/6 is equivalent to 5*(1/6) which is the result of multiplying the whole number 5 by the unit fraction 1/6

Note: A unit fraction is any fraction where the numerator is 1 and the denominator is some larger whole number. 

The fraction [tex]\frac{5}{6}[/tex] written as a product of a whole number and a unit fraction is

[tex]5\times\dfrac{1}{6}[/tex]

A unit fraction is a common fraction that has 1 in the numerator and a positive integer in the denominator. Examples include 1/13, 1/7, and 1/25.

The problem we are facing is

How do we write a non-unit, common fraction as a product of a whole number and a unit fraction?

The numerator of the fraction 5/6 can be rewritten as follows

[tex]\dfrac{5}{6}=\dfrac{5\times1}{6}[/tex]

making the numerator a product of a whole number and one.

Still reasoning backwards, and using fraction multiplication, we can still rewrite it as follows

[tex]\dfrac{5\times1}{6}=5\times\dfrac{1}{6}[/tex]

now, we have rewritten the proper fraction as a product of a whole number, [tex]5[/tex], and the unit fraction, [tex]\frac{1}{6}[/tex]. In other words

[tex]\dfrac{5}{6}=5\times\dfrac{1}{6}[/tex]

Learn more about unit fractions here https://brainly.com/question/9281754