Express 4.05 in Different Mathematical Forms: Decimal Conversion Practice

To convert the decimal 4.05 into a fraction, follow these steps:

• Step 1: Separate the whole number from the decimal. The whole number is 4.
• Step 2: Convert the decimal part 0.05 into a fraction.
• Step 3: Write 0.05 as $\frac{5}{100}$, since 0.05 means 5 parts out of 100.
• Step 4: Simplify $\frac{5}{100}$ by finding the greatest common divisor of 5 and 100, which is 5. Divide both the numerator and the denominator by 5:
• $\frac{5}{100} \div \frac{5}{5} = \frac{1}{20}$
• Step 5: Combine the whole number 4 and the fraction $\frac{1}{20}$ to form the mixed number $4\frac{1}{20}$.

Thus, the decimal number 4.05 is equivalent to the mixed number $4\frac{1}{20}$.

Therefore, the correct answer is $4\frac{1}{20}$.