Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real
numbers.
-$\frac { \frac { 3 } { y } } { \frac { 2 } { y + 3 } }$
A) $\frac { 2 y } { 3 ( y + 3 ) }$
B) $\frac { 3 ( y + 3 ) } { 2 y }$
C) $\frac { y + 3 } { 6 y }$
D) $6 y ( y + 3 )$

Question

Quizplus · Accepted Answer

To simplify the given expression, we multiply the numerator and denominator by the reciprocal of the denominator: $\frac { \frac { 3 } { y } } { \frac { 2 } { y + 3 } } = \frac { 3 } { y } \cdot \frac { y + 3 } { 2 } = \frac { 3 ( y + 3 ) } { 2 y }$, which matches choice B.

Write the Expression with Only Positive Exponents and Evaluate If 3y2y+3\frac { \frac { 3 } { y } } { \frac { 2 } { y + 3 } }y+32​y3​​

Write the Expression with Only Positive Exponents and Evaluate If $\frac { \frac { 3 } { y } } { \frac { 2 } { y + 3 } }$