Find five rational numbers between 3/5 and 4/5.

Since we want five rational numbers, we write and as rational numbers with denominator 5 + 1 = 6, i.e., and ∴ Rational numbers between and are, , , , ,

Mathematics

Find five rational numbers between $\dfrac{3}{5}$ and $\dfrac{4}{5}$ .

Number System

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Since we want five rational numbers, we write $\dfrac{3}{5}$ and $\dfrac{4}{5}$ as rational numbers with denominator 5 + 1 = 6, i.e.,

$\dfrac{3}{5} = \dfrac{3 \times 6} {5 \times 6} = \dfrac{18}{30}$

and

$\dfrac{4}{5} = \dfrac{4 \times 6} {5 \times 6} = \dfrac{24}{30}$

∴ Rational numbers between $\dfrac{3}{5}$ and $\dfrac{4}{5}$ are, $\dfrac{19}{30}$ , $\dfrac{20}{30}$ , $\dfrac{21}{30}$ , $\dfrac{22}{30}$ , $\dfrac{23}{30}$

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Mathematics

Find five rational numbers between $\dfrac{3}{5}$ and $\dfrac{4}{5}$ .

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