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

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

\newline

Answer:

Understand Division of Fractions: Understand the division of fractions. $\newline$ Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of $-9$ is $-\frac{1}{9}$ .
Rewrite as Multiplication by Reciprocal: Rewrite the division as multiplication by the reciprocal. $\newline$ $(\frac{1}{6}) \div -9 = (\frac{1}{6}) \times (\frac{-1}{9})$
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ $(1 \times -1) / (6 \times 9) = -1 / 54$
Check for Further Simplification: Check if the fraction can be simplified further. $\newline$ The fraction $-\frac{1}{54}$ is already in its simplest form because $1$ and $54$ have no common factors other than $1$ .