Convert $4\frac{2}{3}$ to an improper fraction. What is the numerator of the result?

An improper fraction like 11/4 can be rewritten as a mixed number. Divide 11 by 4: 11 ÷ 4 = 2 remainder 3. So 11/4 = 2 + 3/4 = 2 3/4. Going the other way: 2 $3/4=(2\times 4+3)/4=11/4$. Both forms name the same number — you choose the one that's easier for the situation. For arithmetic, improper fractions are usually friendlier; for everyday speech, mixed numbers are.