Kevin painted
of the wall.
Solution:
Fraction of the wall painted by Elena =
![(5)/(9)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/poud0muhkks6xew5vxnzzhjavo5v4bgzv8.png)
Fraction of the wall painted by Matthew =
![(3)/(9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/i8ru7808wm0jqftaials79izopb8i6khtg.png)
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
![$=1-(5)/(9)-(3)/(9)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/n20r8ojf1dxqor3vo5r86n797d83sfzo9g.png)
![$=(1)/(1) -(5)/(9)-(3)/(9)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/t7kg6bv39r0dofdj9ql432r8lh1xtgeol5.png)
To make the denominator same, multiply the numerator and denominator of the first term by 9.
![$=(9)/(9) -(5)/(9)-(3)/(9)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9p5u9ckdv12xvu25hiuslmtcr6oexmwngp.png)
![$=(9-5-3)/(9)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qwbv2ix9f4d0fzrh3r6ept3lxfyfefkser.png)
![$=(1)/(9)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/b2m9kynfhcylrjfnt3tcnae94j4v70k2g2.png)
Rest of the wall =
![(1)/(9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/6au3zv2793g0c8whm6mxr8pgf1mvm6r80d.png)
Hence the kevin painted
of the wall.