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].
