Perform the operation and simplify the answer fully. ((4)/(3))/((5)/(9)) Answer:

Understand the problem: Understand the problem. We need to divide two fractions: (4/3) by (5/9).Recall how to divide fractions: Recall how to divide fractions. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.Find the reciprocal: Find the reciprocal of the second fraction. The reciprocal of (5/9) is (9/5).Multiply fractions: Multiply the first fraction by the reciprocal of the second fraction. (4/3) * (9/5) = (4*9)/(3*5)Perform the multiplication: Perform the multiplication. (4*9)/(3*5) = 36/15Simplify the result: Simplify the result, if possible. 36/15 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. 36 ÷ 3 = 12 15 ÷ 3 = 5 So, 36/15 simplifies to 12/5.

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Perform the operation and simplify the answer fully.

((4)/(3))/((5)/(9))
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{\frac{4}{3}}{\frac{5}{9}}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

Full solution

Q. Perform the operation and simplify the answer fully.

\newline

\frac{\frac{4}{3}}{\frac{5}{9}}

\newline

Answer:

Understand the problem: Understand the problem. $\newline$ We need to divide two fractions: $(\frac{4}{3})$ by $(\frac{5}{9})$ .
Recall how to divide fractions: Recall how to divide fractions. $\newline$ To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Find the reciprocal: Find the reciprocal of the second fraction. $\newline$ The reciprocal of $(\frac{5}{9})$ is $(\frac{9}{5})$ .
Multiply fractions: Multiply the first fraction by the reciprocal of the second fraction. $\newline$ $(\frac{4}{3}) \times (\frac{9}{5}) = \frac{4\times9}{3\times5}$
Perform the multiplication: Perform the multiplication. $(4\times9)/(3\times5) = 36/15$
Simplify the result: Simplify the result, if possible. $\newline$ $\frac{36}{15}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ $36 \div 3 = 12$ $\newline$ $15 \div 3 = 5$ $\newline$ So, $\frac{36}{15}$ simplifies to $\frac{12}{5}$ .