We are being asked to subtract two mixed numbers, 7 2/3 - 3 7/8,
First, we need to convert the mixed numbers to improper fractions:
[tex]7\frac{2}{3}-3\frac{7}{8}=\frac{21+2}{3}-\frac{24+7}{8}=\frac{23}{3}-\frac{31}{8}[/tex]Until now, we have changed to improper fractions, now we can make the difference:
[tex]\frac{23}{3}-\frac{31}{8}=\frac{(23\cdot8)-(3\cdot31)}{24}=\frac{184-93}{24}=\frac{91}{24}[/tex]