To solve the given mathematical expression, [tex]\( 3.64 + \frac{3}{5} \)[/tex], follow these detailed steps:
1. Identify the numbers:
- The first number is a decimal: [tex]\( 3.64 \)[/tex]
- The second number is a fraction: [tex]\( \frac{3}{5} \)[/tex]
2. Convert the fraction to a decimal:
- To convert [tex]\( \frac{3}{5} \)[/tex] to a decimal, you divide the numerator (3) by the denominator (5).
- Performing the division [tex]\( \frac{3}{5} = 0.6 \)[/tex]
3. Add the decimal numbers:
- Now, we have two decimal numbers to add: [tex]\( 3.64 \)[/tex] and [tex]\( 0.6 \)[/tex]
- Align the decimal points and add them:
[tex]\[
\begin{array}{r}
3.64 \\
+ 0.6 \\
\hline
4.24 \\
\end{array}
\][/tex]
4. Write the final result:
- So, [tex]\( 3.64 + \frac{3}{5} \)[/tex] equals [tex]\( 4.24 \)[/tex].
Hence, the solution is:
[tex]\[
3.64 + \frac{3}{5} = 4.24
\][/tex]
