Question

Find 20 rational numbers between 18 & 19
Plz Guyz help!!

Answer 1

Hi.

$\text{To find 20 rational numbers between 18 and 19, multiply them by \dfrac{(20+1)}{(20+1)} = \dfrac{21}{21} }\\\\\\18 \times \dfrac{21}{21} = \dfrac{378}{21}\\\\\\19 \times \dfrac{21}{21} = \dfrac{399}{21}\\\\\\\text{Clearly, twenty rational numbers between 18 and 19 or } \dfrac{378}{21} \: and \: \dfrac{399}{21} \: are \: \\\\\\\dfrac{379}{21}, \: \dfrac{380}{21}, \: \dfrac{381}{21}, \: \dfrac{382}{21}, \: \dfrac{383}{21}, \: \dfrac{384}{21}, \: \dfrac{385}{21}, \: \dfrac{386}{21},$

$\dfrac{387}{21}, \: \dfrac{388}{21}, \: \dfrac{389}{21}, \: \dfrac{390}{21}, \: \dfrac{391}{21}, \: \dfrac{392}{21}, \: \dfrac{393}{21}, \: \dfrac{394}{21}, \: \\\\\\\dfrac{395}{21} \: and \: \dfrac{396}{21}.$

Hope it helps.