Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real
numbers.
-$$\frac { 9 + \frac { 3 } { s } } { \frac { s } { 4 } + \frac { 1 } { 12 } }$$
A) 1

B) $\frac { \mathrm { s } } { 36 }$

C) 36

D) $\frac { 36 } { \mathrm {~s} }$

Question

Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real
numbers.
-$$\frac { 9 + \frac { 3 } { s } } { \frac { s } { 4 } + \frac { 1 } { 12 } }$$
A) 1

B) $\frac { \mathrm { s } } { 36 }$

C) 36

D) $\frac { 36 } { \mathrm {~s} }$

Quizplus · Accepted Answer

By simplifying the expression, the numerator becomes $9s + 3$ and the denominator becomes $\frac{s}{4} + \frac{1}{12}$. Simplifying further, the denominator becomes $\frac{3s + 1}{12}$. The expression simplifies to $\frac{12(9s + 3)}{3s + 1}$, which simplifies to $\frac{36s + 12}{3s + 1}$. Factoring out the common terms, the expression simplifies to $\frac{36}{s}$.

Write the Expression with Only Positive Exponents and Evaluate If 9+3ss4+112\frac { 9 + \frac { 3 } { s } } { \frac { s } { 4 } + \frac { 1 } { 12 } }4s​+121​9+s3​​

Write the Expression with Only Positive Exponents and Evaluate If $\frac { 9 + \frac { 3 } { s } } { \frac { s } { 4 } + \frac { 1 } { 12 } }$