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Question

Using the appropriate properties of operations of rational numbers, evaluate the following:
$$-3/7 \times 14/15 \times 7/12 \times (-30/35)$$.

Solution
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$$-3 / 7 \times 14 / 15 \times 7 / 12 \times (- 30 / 35)$$
$$= (- 3 / 7 \times 14 / 15) \times (7 / 12 \times - 30 / 35)$$
On further calculation, we get
$$= - 2 / 5 \times - 1 / 2$$
We get,
$$= 1 / 5$$.

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