Question

question
simplify \\(\frac{718!}{719!}\\) without any factorials.

Explanation:

Step1: Recall factorial definition

The factorial of a number \( n \), denoted as \( n! \), is defined as \( n! = n \times (n - 1) \times (n - 2) \times \dots \times 1 \). So, \( 719! = 719 \times 718! \).

Step2: Substitute into the fraction

Substitute \( 719! = 719 \times 718! \) into the fraction \( \frac{718!}{719!} \). We get \( \frac{718!}{719 \times 718!} \).

Step3: Cancel out common terms

The \( 718! \) terms in the numerator and denominator cancel out (since \( 718!
eq 0 \)), leaving us with \( \frac{1}{719} \).

Answer:

\(\frac{1}{719}\)