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$Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (1)/(2)*-(10)/(9) Answer:$

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. $\newline$ $\frac{1}{2} \cdot-\frac{10}{9}$ $\newline$ 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{1}{2} \cdot-\frac{10}{9}

\newline

Answer:

Identify numbers: Identify the numbers to be multiplied. $\newline$ We have two fractions: $\frac{1}{2}$ and $-\frac{10}{9}$ . We need to multiply these two fractions together.
Multiply numerators: Multiply the numerators. $\newline$ Multiply the numerators of the two fractions: $1 \times -10 = -10$ .
Multiply denominators: Multiply the denominators. $\newline$ Multiply the denominators of the two fractions: $2 \times 9 = 18$ .
Write as fraction: Write the result as a fraction. $\newline$ Combine the results of Step $2$ and Step $3$ to form a new fraction: $(-10)/(18)$ .
Simplify fraction: Simplify the fraction. $\newline$ The numerator and the denominator have a common factor of $2$ . Divide both by $2$ to simplify the fraction: $(-10/2)/(18/2) = -5/9$ .

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