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$Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. ((5)/(2))/(-3) Answer:$

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. $\newline$ $\frac{\frac{5}{2}}{-3}$ $\newline$ Answer:

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Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

\newline

\frac{\frac{5}{2}}{-3}

\newline

Answer:

Understand the expression: Understand the given expression. $\newline$ We are given the expression $\frac{\frac{5}{2}}{-3}$ , which is a fraction divided by a negative number.
Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal. $\newline$ Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of $-3$ is $-\frac{1}{3}$ . $\newline$ So, $\frac{5}{2}$ / $-3$ is the same as $\frac{5}{2}$ * $-\frac{1}{3}$ .
Perform the multiplication: Perform the multiplication. $\newline$ Now, multiply the numerators and the denominators separately. $\newline$ $(5 \times -1) / (2 \times 3) = -5 / 6$ .
Check for simplification: Check if the fraction can be simplified further. $\newline$ The fraction $-\frac{5}{6}$ cannot be simplified further because $5$ and $6$ have no common factors other than $1$ .