The rule to convert a mixed fraction to an improper fraction is
[tex] a\frac{b}{c} =\frac{(a)(c)+b}{c} [/tex]
Here in [tex] 422\frac{8}{100} [/tex]
Here a = 422, b = 8 and c = 100
Now a × c = 422 × 100 = 42200
And 42200 + 8 = 42208
So we have
[tex] 422\frac{8}{100} =\frac{(422)(100)+8}{10}=\frac{42200+8}{100}=\frac{42208}{100} [/tex]
This fraction can also be reduced as
[tex] \frac{42208}{100}=\frac{10552}{25} [/tex]
Hence
[tex] 422\frac{8}{100}=\frac{42208}{100}=\frac{10552}{25} [/tex]
