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$Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. -(4)/(9)*(5)/(2) Answer:$

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. $\newline$ $-\frac{4}{9} \cdot \frac{5}{2}$ $\newline$ 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{4}{9} \cdot \frac{5}{2}

\newline

Answer:

Multiply Numerators: Multiply the numerators of the two fractions. $\newline$ To multiply two fractions, you multiply the numerators (top numbers) together and the denominators (bottom numbers) together. In this case, we multiply the numerators $-4$ and $5$ . $\newline$ $-4 \times 5 = -20$
Multiply Denominators: Multiply the denominators of the two fractions. $\newline$ Now we multiply the denominators $9$ and $2$ . $\newline$ $9 \times 2 = 18$
Write Result as Fraction: Write the result as a fraction. $\newline$ The result from Step $1$ becomes the numerator, and the result from Step $2$ becomes the denominator. $\newline$ The fraction is $-\frac{20}{18}$ .
Simplify Fraction: Simplify the fraction. $\newline$ To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number. The GCD of $20$ and $18$ is $2$ . $\newline$ $-20 \div 2 = -10$ $\newline$ $18 \div 2 = 9$
Write Simplified Fraction: Write the simplified fraction. $\newline$ After dividing both the numerator and the denominator by the GCD, we get the simplified fraction $-\frac{10}{9}$ .

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