Answer:
The remaining child got a fraction of [tex]\frac{1}{10}[/tex].
Step-by-step explanation:
Lets take the fraction of the money fourth child got is [tex]x[/tex]
Addition of all these fractions should be equal to 1.
⇒[tex]\frac{1}{3} +\frac{1}{6} +\frac{2}{5} +x=1[/tex]
⇒[tex]\frac{10+5+12+30x}{30} =1[/tex] (Taking a common denominator)
⇒[tex]\frac{27+30x}{30} =1[/tex]
⇒[tex]27+30x=30[/tex]
⇒[tex]30x=3[/tex]
⇒[tex]x=0.1[/tex]
Therefore,
The remaining child got a fraction of [tex]\frac{1}{10}[/tex].
