[tex]\frac{9}{40}[/tex] of his journey he still has to complete .
Step-by-step explanation:
Here we have , A salesman traveled 2/5 of his journey before lunch and 3/8 of his journey after lunch. We need to find What fraction of his journey has he still to complete . Let's find out:
Let , total journey of salesman to travel be x . So , A salesman traveled 2/5 of his journey before lunch and 3/8 of his journey after lunch . Let , y be the fraction of his journey has he still to complete . So , According to question:
⇒ [tex]y+\frac{2x}{5} +\frac{3x}{8} =x[/tex]
⇒ [tex]y+\frac{2x(8)+3x(5)}{5(8)} =x[/tex]
⇒ [tex]y+\frac{16x+15x}{5(8)} =x[/tex]
⇒ [tex]y+\frac{31x}{40} =x[/tex]
⇒ [tex](y+\frac{31x}{40} )-\frac{31x}{40}=x-\frac{31x}{40}[/tex]
⇒ [tex]y=\frac{40x-31x}{40}[/tex]
⇒ [tex]y=\frac{9x}{40}[/tex]
Therefore , [tex]\frac{9}{40}[/tex] of his journey he still has to complete .
