For the problem:
[tex]2\frac{1}{2} * 8\frac{2}{3}[/tex] = _
Convert any mixed number to fractions:
[tex]2\frac{1}{2} = \frac{5}{2}[/tex]
[tex]8\frac{2}{3} =\frac{26}{3}[/tex]
Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
[tex]\frac{5*26}{2*3} =\frac{130}{6}[/tex]
The Greatest Common Factor (GCF) of 130 and 6 is 2. The result can be simplified by dividing both the numerator and denominator by 2.
[tex]\frac{130}{6} =\frac{130/2}{6/2} =\frac{65}{3}[/tex]
65 ÷ 3 = 21R2, therefore:
[tex]\frac{65}{3} =21\frac{2}{3}[/tex]
The result is:
[tex]2\frac{1}{2} *8\frac{2}{3} =21\frac{2}{3}[/tex]