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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