Question

evaluate \\(\frac{10n - 13}{9mn - 15}\\) when \\(m = 0\\) and \\(n = -1\\). enter an integer or a fraction.

Explanation:

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<reasoning>

Substitute the given values into the expression

Using the Evaluating Rational Expressions knowledge point
\[

$$\begin{aligned} &\text{Substitute } m = 0 \text{ and } n = -1 \text{ into } \frac{10n - 13}{9mn - 15}:\\ &\frac{10(-1) - 13}{9(0)(-1) - 15} \end{aligned}$$

\]

Simplify the numerator and denominator

Using the Fraction Arithmetic knowledge point
\[

$$\begin{aligned} &\text{Numerator: } 10(-1) - 13 = -10 - 13 = -23\\ &\text{Denominator: } 9(0)(-1) - 15 = 0 - 15 = -15 \end{aligned}$$

\]

Simplify the resulting fraction

Using the Fraction Arithmetic knowledge point
\[
\frac{-23}{-15} = \frac{23}{15}
\]
</reasoning>

<answer>
Evaluate \(\frac{10n - 13}{9mn - 15}\) when \(m = 0\) and \(n = -1\). Enter an integer or a fraction. <blank>\(\frac{23}{15}\)</blank>
</answer>

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"Mathematics",
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Answer:

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<reasoning>

Substitute the given values into the expression

Using the Evaluating Rational Expressions knowledge point
\[

$$\begin{aligned} &\text{Substitute } m = 0 \text{ and } n = -1 \text{ into } \frac{10n - 13}{9mn - 15}:\\ &\frac{10(-1) - 13}{9(0)(-1) - 15} \end{aligned}$$

\]

Simplify the numerator and denominator

Using the Fraction Arithmetic knowledge point
\[

$$\begin{aligned} &\text{Numerator: } 10(-1) - 13 = -10 - 13 = -23\\ &\text{Denominator: } 9(0)(-1) - 15 = 0 - 15 = -15 \end{aligned}$$

\]

Simplify the resulting fraction

Using the Fraction Arithmetic knowledge point
\[
\frac{-23}{-15} = \frac{23}{15}
\]
</reasoning>

<answer>
Evaluate \(\frac{10n - 13}{9mn - 15}\) when \(m = 0\) and \(n = -1\). Enter an integer or a fraction. <blank>\(\frac{23}{15}\)</blank>
</answer>

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