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$Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (-(2)/(3))/(6) Answer:$

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. $\newline$ $\frac{-\frac{2}{3}}{6}$ $\newline$ Answer:

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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{-\frac{2}{3}}{6}

\newline

Answer:

Understand the problem: Understand the problem. $\newline$ We need to divide $-\frac{2}{3}$ by $6$ and express the result as a simplified fraction.
Convert to fraction: Convert the whole number into a fraction. $\newline$ To divide by a whole number, we can convert the whole number into a fraction by putting it over $1$ . $\newline$ So, $6$ becomes $\frac{6}{1}$ .
Write as reciprocal multiplication: Write the division as multiplication by the reciprocal. $\newline$ Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $\frac{6}{1}$ is $\frac{1}{6}$ . $\newline$ So, $-\frac{2}{3} \div 6$ becomes $-\frac{2}{3} \times \frac{1}{6}$ .
Multiply numerators and denominators: Multiply the numerators and denominators. $\newline$ Now, multiply the numerators together and the denominators together. $\newline$ $-\frac{2}{3} \times \frac{1}{6} = -\frac{2 \times 1}{3 \times 6}$
Perform the multiplication: Perform the multiplication. $\newline$ Calculate the multiplication of the numerators and denominators. $\newline$ $-\frac{2 \times 1}{3 \times 6} = -\frac{2}{18}$
Simplify the fraction: Simplify the fraction. $\newline$ The fraction $-\frac{2}{18}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $-\frac{2}{18} = -\frac{2 \div 2}{18 \div 2} = -\frac{1}{9}$

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