What Fraction Of The Wall Did Kevin Paint?

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What Fraction Of The Wall Did Kevin Paint I Need Help With This ASAP I Also Need Work To Be Shown It Would Be Glad If I Can Get Some Help class=

Respuesta :

Kevin painted [tex]\frac{1}{9}[/tex] of the wall.

Solution:

Fraction of the wall painted by Elena = [tex]\frac{5}{9}[/tex]

Fraction of the wall painted by Matthew = [tex]\frac{3}{9}[/tex]

Fraction of the wall painted by Kevin = ?

Full wall can be taken as 1.

To find the wall painted by Kevin:

Rest of the wall = Full wall – painted by Elena – Painted by Matthew

                          [tex]$=1-\frac{5}{9}-\frac{3}{9}[/tex]

                          [tex]$=\frac{1}{1} -\frac{5}{9}-\frac{3}{9}[/tex]

To make the denominator same, multiply the numerator and denominator of the first term by 9.

                          [tex]$=\frac{9}{9} -\frac{5}{9}-\frac{3}{9}[/tex]

                          [tex]$=\frac{9-5-3}{9}[/tex]

                          [tex]$=\frac{1}{9}[/tex]

Rest of the wall = [tex]\frac{1}{9}[/tex]

Hence the kevin painted [tex]\frac{1}{9}[/tex] of the wall.

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