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Question

Find the difference:
$$\dfrac{5}{6}-\dfrac{4}{9}$$

Solution
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It is known that $$\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{(a\times d)-(b\times c)}{b\times d}$$

Thus,
$$\dfrac{5}{6}-\dfrac{4}{9}=\dfrac{(5\times 9)-(4\times 6)}{6\times 9}$$

$$=\dfrac{45-24}{54}$$

$$=\dfrac{7}{18}$$

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