Answer :

Certainly! Let's break down the addition of [tex]\( 4.8 \)[/tex] and [tex]\( \frac{1}{3} \)[/tex] step by step:

1. Identify the terms to be added:
- The first term is [tex]\( 4.8 \)[/tex].
- The second term is [tex]\( \frac{1}{3} \)[/tex].

2. Convert the fractional part to a decimal:
- [tex]\( \frac{1}{3} \)[/tex] in decimal form is [tex]\( 0.33333333333\ldots \)[/tex] (repeating).

3. Add the decimal values:
- First, align the decimal points:
[tex]\[ 4.8 \quad \text{(which could also be written as 4.8000000000...}) \\ + 0.3333333333\ldots \][/tex]
- Perform the addition:
[tex]\[ 4.8000000000 \\ + 0.3333333333\ldots \\ \__________ \\ = 5.1333333333\ldots \][/tex]

4. Result:
- The sum of [tex]\( 4.8 \)[/tex] and [tex]\( \frac{1}{3} \)[/tex] is [tex]\( 5.133333333333333 \)[/tex].

Therefore, [tex]\( 4.8 + \frac{1}{3} \)[/tex] equals [tex]\( 5.133333333333333 \)[/tex].