Let's solve the problem step-by-step.
We are given the expression [tex]\(\frac{2}{4} \times 360\)[/tex].
1. Simplify the Fraction:
The fraction [tex]\(\frac{2}{4}\)[/tex] can be simplified. We divide both the numerator (2) and the denominator (4) by their greatest common divisor, which is 2:
[tex]\[
\frac{2}{4} = \frac{2 \div 2}{4 \div 2} = \frac{1}{2}
\][/tex]
2. Interpret the Simplified Fraction:
The fraction [tex]\(\frac{1}{2}\)[/tex] means one-half.
3. Multiply the Simplified Fraction by the Number:
Next, we need to multiply this simplified fraction by the given number 360:
[tex]\[
\frac{1}{2} \times 360
\][/tex]
4. Perform the Multiplication:
Multiplying a number by [tex]\(\frac{1}{2}\)[/tex] is the same as finding half of that number:
[tex]\[
\frac{1}{2} \times 360 = 180
\][/tex]
Thus, the final answer is:
[tex]\(\boxed{180}\)[/tex]
