Convert Mixed Number to Decimal: 2⅕ Step-by-Step

The goal is to convert the mixed number $2\frac{1}{5}$ into its decimal form.

We'll focus first on converting the fractional part, $\frac{1}{5}$, to a decimal. To do so, it's useful to express $\frac{1}{5}$ as an equivalent fraction with a denominator of 10. Since $5 \times 2 = 10$, multiply both the numerator and the denominator by 2:

$\frac{1 \times 2}{5 \times 2} = \frac{2}{10}$

This fraction, $\frac{2}{10}$, can be expressed directly as the decimal $0.2$.

Now, combine this decimal with the whole number part of the mixed number:

$2 + 0.2 = 2.2$

Therefore, the decimal equivalent of $2\frac{1}{5}$ is $2.2$.

When comparing with the provided choices, choice 2 correctly corresponds to the decimal \($2.2$\).