Certainly! Let's work through the problem step-by-step.
1. Identify the values to be multiplied: We need to multiply the integer [tex]\(5\)[/tex] by the fraction [tex]\(\frac{1}{2}\)[/tex].
2. Express the integer as a fraction: To facilitate multiplication, we can express the integer [tex]\(5\)[/tex] as a fraction:
[tex]\[
5 = \frac{5}{1}
\][/tex]
3. Multiply the fractions: To multiply two fractions, we multiply the numerators together and the denominators together. Thus, we have:
[tex]\[
\frac{5}{1} \times \frac{1}{2} = \frac{5 \times 1}{1 \times 2} = \frac{5}{2}
\][/tex]
4. Simplify the fraction: In this case, [tex]\(\frac{5}{2}\)[/tex] is already in its simplest form.
So, the final answer to the problem [tex]\(5 \left( \frac{1}{2} \right)\)[/tex] is:
[tex]\[
\frac{5}{2}
\][/tex]
Therefore, your answer as a fraction in simplest form is:
[tex]\[
5/2
\][/tex]
