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Question

Give four rational numbers equivalent to:
$$\cfrac{5}{-3}$$

Solution
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$$\cfrac{5}{-3}$$
$$\cfrac { -5\times 2 }{ -3\times 2 } =\cfrac { 10 }{ -6 } ,\cfrac { 5\times 3 }{ -3\times 3 } =\cfrac { 15 }{ -9 } ,\cfrac { 5\times 4 }{ -3\times 4 } =\cfrac { 20 }{ -12 } ,\cfrac { 5\times 5 }{ -3\times 5 } =\cfrac { 25 }{ -15 } $$
Therefore the four equivalent rational numbers are $$\cfrac { 10 }{ -6 } ,\cfrac { 15 }{ -9 } ,\cfrac { 20 }{ -12 } ,\cfrac { 25 }{ -15 } $$

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