To find the multiplicative inverse of a number, we need to identify a number which, when multiplied by the original number, results in 1.
In this case, we are looking for the multiplicative inverse of [tex]\( 74 \)[/tex]. This means we need to find a number [tex]\( x \)[/tex] such that:
[tex]\[ 74 \times x = 1 \][/tex]
Solving for [tex]\( x \)[/tex], we get:
[tex]\[ x = \frac{1}{74} \][/tex]
The value of [tex]\( \frac{1}{74} \)[/tex] is approximately [tex]\( 0.013513513513513514 \)[/tex].
Given this, the multiplicative inverse of [tex]\( 74 \)[/tex] is indeed:
[tex]\[ \frac{1}{74} \][/tex]
So, the correct answer is:
B. [tex]\( \frac{1}{74} \)[/tex]
