For this case we have to:
Wednesday:
[tex]6 \frac {2} {3} = \frac {3 * 6 + 2} {3} = \frac {20} {3}[/tex]
Saturday:
He ran [tex]2 \frac {1} {4}[/tex] times more than on Wednesday, that is:
[tex]\frac {20} {3} + \frac {4 * 2 + 1} {4} =\\\frac {20} {3} + \frac {9} {4} =\\\frac {20 * 4 + 9 * 3} {12} =\\\frac {107} {12} =\\8 \frac {11} {12}[/tex]
Thus, on Saturday, he ran [tex]8 \frac {11} {12}[/tex]miles
Answer:
[tex]8 \frac {11} {12}[/tex]