Question

Find ten rational numbers between 8/3 and 7/4 ?

Answer 1

Answer:

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Answer 2

Question:

Find ten rational numbers between $\dfrac{8}{3}$ and $\dfrac{7}{4}$.

Solution:

By taking LCM of 3 and 4

LCM = 12

$\dfrac{8}{3} \times \dfrac{4}{4} = \dfrac{32}{12}$

$\dfrac{7}{4} \times \dfrac{3}{3} = \dfrac{21}{12}$

The ten rational numbers between $\dfrac{32}{12}$ and $\dfrac{21}{12}$ are:

$\dfrac{31}{12}, \dfrac{30}{12}, \dfrac{29}{12}, \dfrac{28}{12}, \dfrac{27}{12}, \dfrac{26}{12}, \dfrac{25}{12}, \dfrac{24}{12}, \dfrac{23}{12}, \dfrac{22}{12}$

Or

$\dfrac{31}{12}, \dfrac{5}{2}, \dfrac{29}{12}, \dfrac{7}{3}, \dfrac{9}{4}, \dfrac{13}{6}, \dfrac{25}{12}, \dfrac{2}{1}, \dfrac{23}{12}, \dfrac{11}{6}$