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Question

Express $$\dfrac{168}{-294}$$ as a rational number with denominator $$-7$$

Solution
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Let $$\dfrac{168}{-294}=\dfrac x{-7}$$
$$\Rightarrow 168\times (-7)=(-294) \times x\\$$
$$\Rightarrow x=\dfrac{ 168\times (-7)}{-294}=\dfrac{ 168\times 7}{294}\\$$
Simplifying the fraction,
$$\Rightarrow x=4$$

Hence, $$\dfrac{168}{-294}=\dfrac 4{-7}$$

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