Solve: (-(9)/(2))÷((9)/(7))

Identify Operation: Step 1: Identify the operation needed to simplify the expression. We need to divide $-(9)/(2)$ by $(9)/(7)$. Calculation: $-(9)/(2) ÷ (9)/(7)$Convert to Multiplication: Step 2: Convert the division of fractions into multiplication by the reciprocal. To divide by a fraction, multiply by its reciprocal. Calculation: $-(9)/(2) * (7)/(9)$Multiply Numerators and Denominators: Step 3: Multiply the numerators and the denominators. Multiply $-9$ by $7$ and $2$ by $9$. Calculation: $(-9 * 7) / (2 * 9) = -63 / 18$Simplify Fraction: Step 4: Simplify the fraction. Divide both the numerator and the denominator by their greatest common divisor, which is $9$. Calculation: $(-63 ÷ 9) / (18 ÷ 9) = -7 / 2$

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Solve: $\left(-\left(\frac{9}{2}\right)\right)÷\left(\left(\frac{9}{7}\right)\right)$

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Algebra 1

Multiplication with rational exponents

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Q. Solve:

\left(-\left(\frac{9}{2}\right)\right)÷\left(\left(\frac{9}{7}\right)\right)

Identify Operation: Step $1$ : Identify the operation needed to simplify the expression. $\newline$ We need to divide $-(9)/(2)$ by $(9)/(7)$ . $\newline$ Calculation: $-(9)/(2) ÷ (9)/(7)$
Convert to Multiplication: Step $2$ : Convert the division of fractions into multiplication by the reciprocal. $\newline$ To divide by a fraction, multiply by its reciprocal. $\newline$ Calculation: $-(9)/(2) * (7)/(9)$
Multiply Numerators and Denominators: Step $3$ : Multiply the numerators and the denominators. $\newline$ Multiply $-9$ by $7$ and $2$ by $9$ . $\newline$ Calculation: $(-9 * 7) / (2 * 9) = -63 / 18$
Simplify Fraction: Step $4$ : Simplify the fraction. $\newline$ Divide both the numerator and the denominator by their greatest common divisor, which is $9$ . $\newline$ Calculation: $(-63 ÷ 9) / (18 ÷ 9) = -7 / 2$