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Unit Exam - Algebraic Language and Expressions
Find the quotient.
Simplify your answer completely.

((6)/(5))/(-(4)/(9))=-[?]_
Enter the number that belongs in the green box.

Unit Exam - Algebraic Language and Expressions $\newline$ Find the quotient. $\newline$ Simplify your answer completely. $\newline$ $\frac{\frac{6}{5}}{-\frac{4}{9}}=-\underline{[?]}$ $\newline$ Enter the number that belongs in the green box.

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Roots of rational numbers

Full solution

Q. Unit Exam - Algebraic Language and Expressions

\newline

Find the quotient.

\newline

Simplify your answer completely.

\newline

\frac{\frac{6}{5}}{-\frac{4}{9}}=-\underline{[?]}

\newline

Enter the number that belongs in the green box.

Understand the problem: Step $1$ : Understand the problem. $\newline$ We need to find the quotient of the fraction $(\frac{6}{5})$ divided by $(-\frac{4}{9})$ .
Convert to multiplication: Step $2$ : Convert the division of fractions into multiplication. $\newline$ Recall that dividing by a fraction is equivalent to multiplying by its reciprocal. $\newline$ $\frac{6}{5}$ / $\frac{-4}{9}$ = $\frac{6}{5}$ * $\frac{-9}{4}$
Multiply numerators and denominators: Step $3$ : Multiply the numerators and the denominators. $\newline$ Multiply the numerators: $6 \times -9 = -54$ $\newline$ Multiply the denominators: $5 \times 4 = 20$ $\newline$ So, $(\frac{6}{5}) \times (\frac{-9}{4}) = \frac{-54}{20}$
Simplify the fraction: Step $4$ : Simplify the fraction. $\newline$ Both $-54$ and $20$ can be divided by $2$ . $\newline$ $-54 \div 2 = -27$ , $20 \div 2 = 10$ $\newline$ So, $-54/20$ simplifies to $-27/10$ .

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