Respuesta :

Answer:

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

just fill out 4 in the blank

Step-by-step explanation:

1. Equal the denominator for 1/4

End result=[tex]\frac{11}{20}[/tex]

So all the other ones have to be made according to this

20/4=5

1x5=5

[tex]\frac{1}{4}[/tex] will now be [tex]\frac{5}{20}[/tex]

2. Figure out what ?/5 will be

If this number is getting subtracted by [tex]\frac{5}{20}[/tex] then, we have to add [tex]\frac{11}{20}[/tex] by [tex]\frac{5}{20}[/tex] to get our answer.

[tex]\frac{11}{20} +\frac{5}{20} =\frac{16}{20}[/tex]

this means that when [tex]\frac{16}{20}[/tex] gets subtracted by [tex]\frac{5}{20}[/tex] it will equal [tex]\frac{11}{20}[/tex]

3. Simplify 16/20 to it's lowest terms

5x4=20

20/5=4

so, each part ([tex]\frac{1}{5}[/tex]) worth's 4

20-4=16

So that means, that the simplest for for this is [tex]\frac{4}{5}[/tex]

So hence, your answer is 4/5

just fill out 4 in the blank

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Answer:

4

Step-by-step explanation:

Let the blank = x

Thus,

[tex]\frac{x}{5}-\frac{1}{4}=\frac{11}{20}[/tex]

[tex]\mathrm{Add\:}\frac{1}{4}\mathrm{\:to\:both\:sides}[/tex]

[tex]\frac{x}{5}-\frac{1}{4}+\frac{1}{4}=\frac{11}{20}+\frac{1}{4}[/tex]

[tex]\mathrm{simplify}[/tex]

[tex]\frac{x}{5}=\frac{4}{5}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}5[/tex]

[tex]\frac{5x}{5}=\frac{4\cdot \:5}{5}[/tex]

[tex]\mathrm{simplify}[/tex]

x = 4

Hence, the blank = 4

Equation = [tex]\frac{4}{5}-\frac{1}{5}=\frac{11}{20}[/tex]

[RevyBreeze]