Perform the operation and simplify the answer fully. ((8)/(9))/((3)/(4)) Answer:

Understand the operation: Understand the operation. We are asked to divide the fraction (8/9) by the fraction (3/4). This is the same as multiplying the first fraction by the reciprocal of the second fraction.Find the reciprocal: Find the reciprocal of the second fraction. The reciprocal of (3/4) is (4/3).Multiply fractions: Multiply the first fraction by the reciprocal of the second fraction. ((8)/(9)) * ((4)/(3))Perform multiplication: Perform the multiplication. Multiply the numerators together and the denominators together. (8 * 4) / (9 * 3)Calculate product: Calculate the product of the numerators and denominators. 32 / 27Check for simplification: Check if the fraction can be simplified further. The fraction 32/27 cannot be simplified further as 32 and 27 have no common factors other than 1.

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Perform the operation and simplify the answer fully.

((8)/(9))/((3)/(4))
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{\frac{8}{9}}{\frac{3}{4}}$ $\newline$ Answer:

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Algebra 2

Roots of rational numbers

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Q. Perform the operation and simplify the answer fully.

\newline

\frac{\frac{8}{9}}{\frac{3}{4}}

\newline

Answer:

Understand the operation: Understand the operation. $\newline$ We are asked to divide the fraction $(\frac{8}{9})$ by the fraction $(\frac{3}{4})$ . This is the same as multiplying the first fraction by the reciprocal of the second fraction.
Find the reciprocal: Find the reciprocal of the second fraction. $\newline$ The reciprocal of $(\frac{3}{4})$ is $(\frac{4}{3})$ .
Multiply fractions: Multiply the first fraction by the reciprocal of the second fraction. $\newline$ $(\frac{8}{9}) \times (\frac{4}{3})$
Perform multiplication: Perform the multiplication. $\newline$ Multiply the numerators together and the denominators together. $\newline$ $(8 \times 4) / (9 \times 3)$
Calculate product: Calculate the product of the numerators and denominators. $\frac{32}{27}$
Check for simplification: Check if the fraction can be simplified further. $\newline$ The fraction $\frac{32}{27}$ cannot be simplified further as $32$ and $27$ have no common factors other than $1$ .