1Cademy - Example of Simplifying $$\frac{7(-1)+9(-3)}{-5(3)-2}$$

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Simplifying an Expression with a Fraction Bar

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Example of Simplifying $\frac{7(-1)+9(-3)}{-5(3)-2}$

To simplify the expression $\frac{7(-1)+9(-3)}{-5(3)-2}$ , calculate the expressions above and below the fraction bar separately before dividing.

In the numerator, complete the multiplication: $7(-1) = -7$ and $9(-3) = -27$ . Add them to get $-7 + (-27) = -34$ . In the denominator, compute the multiplication: $-5(3) = -15$ . Subtract to get $-15 - 2 = -17$ . The expression simplifies to $\frac{-34}{-17}$ . Dividing the values yields $2$ .

Updated 2026-06-03

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OpenStax Intermediate Algebra

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As a logistics coordinator, you are calculating a supply adjustment multiplier using the formula $\frac{7(-1)+9(-3)}{-5(3)-2}$ . Recalling the standard order of operations to simplify expressions with fraction bars, what are the values of the numerator and the denominator right before performing the final division?
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Following the standard order of operations to evaluate this expression, the manager first simplifies the numerator and the denominator separately.

In the denominator, after calculating the product of -5 and 3, the manager subtracts 2.

What is the resulting simplified integer value of the denominator before the final division is performed?
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