[tex]\frac{3}{10}[/tex] of his paycheck went into each child's account.
Explanation
Deon paid bills with [tex]\frac{1}{2}[/tex] of his paycheck.
So, the remaining amount of his paycheck [tex]= 1- \frac{1}{2}= \frac{1}{2}[/tex]
Now he put [tex]\frac{1}{5}[/tex] of that remaining amount in savings. So, the amount put in savings [tex]=\frac{1}{2}*\frac{1}{5}=\frac{1}{10}[/tex]
The rest amount of his paycheck will be: [tex]1-\frac{1}{10}= \frac{9}{10}[/tex]
He divided that rest amount equally among the college accounts of his 3 children.
So, the fraction of his paycheck went into each child's account [tex]= \frac{9}{10}\div 3= \frac{9}{10}\times \frac{1}{3} = \frac{3}{10}[/tex]
