Answer
a) $\frac{38}{9}$
b) $\frac{19}{11}$
Work Step by Step
To convert a mixed number to an improper fraction, multiply the whole number part by the denominator and add the product to the numerator.
a) $4\frac{2}{9}=\frac{4\times9+2}{9}=\frac{36+2}{9}=\frac{38}{9}$
b) $1\frac{8}{11}=\frac{1\times11+8}{11}=\frac{11+8}{11}=\frac{19}{11}$