Convert Mixed Number: Finding the Decimal for 4 2/5

$4\frac{2}{5}=$

We need to convert the mixed number $4\frac{2}{5}$ into a decimal. This involves two key steps:

• Convert the fractional part $\frac{2}{5}$ into a decimal.
• Add the decimal result to the whole number 4.

Step 1: Converting the Fraction $\frac{2}{5}$

To convert $\frac{2}{5}$ into a decimal, recognize that moving the denominator from 5 to 10 simplifies the process of finding the decimal equivalent. Multiply both the numerator and denominator by 2:

$\frac{2 \times 2}{5 \times 2} = \frac{4}{10}$

The decimal equivalent of $\frac{4}{10}$ is 0.4.

Step 2: Adding the Decimal to the Whole Number

Now, add the decimal result to the whole number component:

$4 + 0.4 = 4.4$

Thus, the mixed number $4\frac{2}{5}$ as a decimal is $\mathbf{4.4}$.