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Question

Subtract:
$$\cfrac{5}{1}$$ from $$\cfrac{-3}{5}$$

Solution
Verified by Toppr

$$5$$ can also be written as $$\cfrac51$$
We have to subtract $$\cfrac{5}{1}$$ from $$\cfrac{-3}{5}$$
i.e $$\cfrac{-3}{5}$$ $$-\left(\cfrac{5}{1}\right)$$
To subtract rational numbers their denominator should be same, so we can simply subtract their numerator and denominator will remain common.
$$LCM$$ of $$5$$ and $$1$$ is $$5$$
Let's express each of the given rational numbers with the above $$LCM$$ as the common denominator.
Now,
$$\cfrac{5}{1}=\cfrac{(5\times (5))}{(1\times(5))}=\cfrac{25}{5}$$
So,
$$\cfrac{-3}{5}$$ $$-\left(\cfrac{5}{1}\right)=\cfrac{-3}{5}-\left(\cfrac{25}{5}\right)$$
$$=\cfrac{-3-25}{5}$$
$$=\cfrac{-28}{5}$$

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