To find [tex]\( n \)[/tex] in the equation [tex]\( \frac{4}{5} = \frac{n}{15} \)[/tex], follow these steps:
1. Understand the Equation: We are given two fractions that are equal: [tex]\( \frac{4}{5} \)[/tex] and [tex]\( \frac{n}{15} \)[/tex].
2. Cross-Multiply: To solve for [tex]\( n \)[/tex], we can use cross-multiplication. This involves multiplying the numerator of one fraction by the denominator of the other fraction:
[tex]\[
4 \times 15 = 5 \times n
\][/tex]
3. Simplify the Multiplication:
[tex]\[
60 = 5n
\][/tex]
4. Solve for [tex]\( n \)[/tex]: To isolate [tex]\( n \)[/tex], divide both sides of the equation by 5:
[tex]\[
n = \frac{60}{5}
\][/tex]
5. Calculate the Result:
[tex]\[
n = 12
\][/tex]
Therefore, the value of [tex]\( n \)[/tex] is [tex]\( 12 \)[/tex].
So, the correct answer is:
О 12
