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Mathematics

Find six rational numbers between 3 and 4.

Number System

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Answer

Since we want six rational numbers, we write 3 and 4 as rational numbers with denominator 3 + 4 = 7,

i.e.,

3=3×77=2173 = \dfrac{3 \times 7}{7} = \dfrac{21}{7}

and

4=4×77=2874 = \dfrac{4 \times 7} {7} = \dfrac{28}{7}

∴ Rational numbers between 3 and 4 are, 227\dfrac{22}{7}, 237\dfrac{23}{7}, 247\dfrac{24}{7}, 257\dfrac{25}{7}, 267\dfrac{26}{7}, 277\dfrac{27}{7}

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