Respuesta :

Answer:

[tex]\frac{5y-12}{20}[/tex]

Step-by-step explanation:

the LCM of 4 and 5 is 20

We require the denominator of each fraction to be 20

Multiply numerator/denominator of first fraction by 5

Multiply numerator/denominator of second fraction by 4

[tex]\frac{y(5)}{4(5)}[/tex] - [tex]\frac{3(4)}{5(4)}[/tex]

= [tex]\frac{5y}{20}[/tex] - [tex]\frac{12}{20}[/tex] ( subtract numerators, leaving common denominator )

= [tex]\frac{5y-12}{20}[/tex]

The expression will be reduced to improper fraction as [tex]\frac{5y-12}{20}[/tex]  where y should be greater than 6.4 .

What is improper fraction?

An improper fraction is defined as a fraction, whose numerator is greater than the denominator. Suppose, x/y is an improper fraction, such that x > y.

According to the question

The expression :

[tex]\frac{y}{4} - \frac{3}{5}[/tex]

To convert it into improper fraction :

Step1: Take LCM of Denominators of both fractions

i.e

LCM of 4,5 = 20

Step2: Now divide denominator of fraction form LCM and multiply to numerator

i.e

[tex]\frac{5y-12}{20}[/tex]

Now,

As we know In  improper fraction numerator > denominator

So,

[tex]5y-12 > 20[/tex]

[tex]5y > 32[/tex]

y > 6.4

Therefore ,

y should be greater than 6.4 to make it improper fraction .

Hence, The expression will be reduced to improper fraction as [tex]\frac{5y-12}{20}[/tex]  where y should be greater than 6.4 .

To know more about  improper fraction here:

https://brainly.com/question/21449807

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