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$Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (1)/(9)*-(5)/(6)$

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. $\newline$ $\frac{1}{9} \cdot-\frac{5}{6}$

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Multiplication with rational exponents

Full solution

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

\newline

\frac{1}{9} \cdot-\frac{5}{6}

Identify Operation and Setup: Step $1$ : Identify the operation and set up the multiplication of fractions. $\newline$ We need to multiply the fractions $(\frac{1}{9})$ and $-(\frac{5}{6})$ . $\newline$ Calculation: $(\frac{1}{9}) \times -(\frac{5}{6})$
Multiply Numerators and Denominators: Step $2$ : Multiply the numerators and the denominators. $\newline$ Multiply the numerators: $1 \times -5 = -5$ $\newline$ Multiply the denominators: $9 \times 6 = 54$ $\newline$ So, the expression becomes $\frac{-5}{54}$ .
Simplify the Fraction: Step $3$ : Simplify the fraction. $\newline$ The greatest common divisor (GCD) of $5$ and $54$ is $1$ . $\newline$ Thus, the fraction $(-5)/(54)$ is already in its simplest form.

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