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$Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (2)/(3)÷(8)/(9) Answer:$

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. $\newline$ $\frac{2}{3} \div \frac{8}{9}$ $\newline$ 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{2}{3} \div \frac{8}{9}

\newline

Answer:

Multiply Fractions: To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of $(\frac{8}{9})$ is $(\frac{9}{8})$ . $\newline$ Calculation: $(\frac{2}{3}) \times (\frac{9}{8})$
Combine Numerators and Denominators: Now, we multiply the numerators together and the denominators together. $\newline$ Calculation: $(2 \times 9) / (3 \times 8) = 18 / 24$
Simplify Fraction: The fraction $\frac{18}{24}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $6$ . $\newline$ Calculation: $(\frac{18 \div 6}{24 \div 6}) = \frac{3}{4}$