Question

Represent the given statement as an algebraic expression:
$16$ fewer than $19$ times of a number divided by $5$.

• A. $19m-16$
• B. $19m-21$
• C. $\frac{19m-16}{5}$
  
• D. $\frac{19m-5}{16}$
  

Answer 1

The correct option is C $\frac{19m-16}{5}$


Let the number be $m$.

$19$ times of $m$ can be shown as:
$19\times m=19m$

$16$ fewer than $19$ times of $m$ means subtracting $16$ from $19m$.
This can be shown as:
$19m-16$

$16$ fewer than $19$ times of a number divided by $5$ can be represented as:
$\frac{19m-16}{5}$

Therefore, option (c.) is the correct answer.