Express the Decimal: Finding All Equivalent Forms of 6.2

To convert the decimal $6.2$ into a fraction, follow these steps:

• Step 1: Separate $6.2$ into its whole number and decimal parts. Here, 6 is the whole number, and 0.2 is the decimal part.
• Step 2: Convert $0.2$ into a fraction. Since $0.2 = \frac{2}{10}$, simplify it to $\frac{1}{5}$.
• Step 3: Combine the whole number and the simplified fraction to create the mixed number $6 \frac{1}{5}$.
• Step 4: Convert the mixed number to an improper fraction. Multiply the whole number (6) by the denominator (5) and add the numerator (1):
$6 \times 5 + 1 = 31$
• Thus, $6 \frac{1}{5}$ as an improper fraction is $\frac{31}{5}$.

Thus, the decimal $6.2$ is equivalent to the fraction $\frac{31}{5}$. Comparing this with the provided choices, the correct choice is option 2: $\frac{31}{5}$.