Answer: [tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
Let x denotes the total number of pages in Jack's book , then we have
Then, the fraction of book he studies on Monday = [tex]\dfrac{x}{6}[/tex]
Fraction of book he studies on Tuesday = [tex]\dfrac{x}{3}[/tex]
The remaining pages of book he studied in 4 days = [tex]x-\dfrac{x}{6}-\dfrac{x}{3}[/tex]
Simplify using LCM, we get
[tex]\dfrac{6x-x-2x}{6}=\dfrac{3x}{6}=\dfrac{x}{2}[/tex]
i.e. The remaining pages of book he studied in 4 days = [tex]\dfrac{x}{2}[/tex]
i.e. Fraction of the book he read on 4 days =[tex]\dfrac{1}{2}[/tex]
Then, the fraction of the book he read on each of the 4 days = [tex]\dfrac{1}{2}\div 4[/tex]
[tex]=\dfrac{1}{2\times4}=\dfrac{1}{8}[/tex]
Hence, Fraction of the book he read on each of the 4 days = [tex]\dfrac{1}{8}[/tex]
