Answer :

[tex]4\frac58 \cdot \frac13 = \\ \frac{37}8 \cdot \frac13=\frac{37}{24}=1\frac{13}{24}[/tex]
[tex]4 \frac{5}{8} = \frac{37}{8} [/tex]
[tex] \frac{1}{3} * 4 \frac{5}{8} = \frac{1}{3} * \frac{37}{8} = \frac{37}{24} = 1 \frac{13}{24} [/tex]