1. The problem is to express the fraction $\frac{43}{10}$ as a mixed number and as a decimal. 2. A mixed number consists of a whole number and a proper fraction. To convert an improper fraction to a mixed number, divide the numerator by the denominator. 3. Divide 43 by 10: $$43 \div 10 = 4 \text{ remainder } 3$$ 4. Write the mixed number using the quotient as the whole number and the remainder over the original denominator: $$4 \frac{3}{10}$$ 5. To write as a decimal, divide 43 by 10: $$\frac{43}{10} = 4.3$$ 6. Therefore, the fraction $\frac{43}{10}$ as a mixed number is $4 \frac{3}{10}$ and as a decimal is $4.3$.