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Question

Insert two fractions between:
$$5/6$$ and $$1 \dfrac{1}{5}$$

Solution
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$$5/6$$ and $$1 \dfrac{1}{5}$$
It can be as
$$= 5/6 + 6/5$$
Fraction between $$5/6$$ and $$6/5$$
$$= \left ( 5 + 6 \right )/ \left (6 + 5 \right )$$
By addition
$$= 11/11$$
$$= 1$$
Fraction between $$1$$ and $$6/5$$
$$= \left ( 1 + 6 \right )/ \left (1 + 5 \right )$$
By addition
$$= 7/6$$
$$= 1 \dfrac{1}{6}$$
Therefore, two fractions between $$5/6$$ and $$1 \dfrac{1}{5}$$ will be $$1$$ and $$= 1 \dfrac{1}{6}$$

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