Evaluate. (5)/(6)÷(9)/(4)=

Convert to multiplication: Convert the division of fractions to multiplication by the reciprocal. To divide by a fraction, you multiply by its reciprocal. The reciprocal of (9)/(4) is (4)/(9).Multiply fractions: Multiply (5)/(6) by the reciprocal of (9)/(4), which is (4)/(9). (5)/(6) * (4)/(9) = (5*4)/(6*9)Perform multiplication: Perform the multiplication. (5*4)/(6*9) = 20/54Simplify fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by it. The GCD of 20 and 54 is 2. 20/54 ÷ 2/2 = 10/27

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Evaluate. $\newline$ $\frac{5}{6} \div \frac{9}{4}=$

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Algebra 2

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Q. Evaluate.

\newline

\frac{5}{6} \div \frac{9}{4}=

Convert to multiplication: Convert the division of fractions to multiplication by the reciprocal. $\newline$ To divide by a fraction, you multiply by its reciprocal. The reciprocal of $(9)/(4)$ is $(4)/(9)$ .
Multiply fractions: Multiply $(\frac{5}{6})$ by the reciprocal of $(\frac{9}{4})$ , which is $(\frac{4}{9})$ . $\newline$ $(\frac{5}{6}) \times (\frac{4}{9}) = (\frac{5\times4}{6\times9})$
Perform multiplication: Perform the multiplication. $\newline$ $(5\times4)/(6\times9) = 20/54$
Simplify fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by it. $\newline$ The GCD of $20$ and $54$ is $2$ . $\newline$ $\frac{20}{54} \div \frac{2}{2} = \frac{10}{27}$