Question

list the three rational number between - 2/5 and - 3/7​

Answer 1

Answer:

Insert 3 rational numbers between 2/5 and 3/7. Sol : L.C.M of 5 and 7 is 35. ⇒ 2/5 = 2×7/5×7 = 14 /35. ⇒ 3/7 = 3×5/7×5 = 15/35.

Answer 2

$First,\:we\:need\:to\:take\:the\:LCM\:of\:the\:denominators\:5\:and\:7\\\\\\The\:LCM\:is\:35\\\\\frac{2}{5}\times\frac{7}{7}=\frac{14}{35}\\\\\\\frac{-3}{7}\times\frac{5}{5}=\frac{-15}{35}\\\\\\\\Our\:rational\:number\:can\:be\:any\:number\:between\:\frac{14}{35}\:and\:\frac{-15}{35}\\\\\\\therefore The\:rational\:numbers\:lying\:between\:\frac{14}{35}\:and\:\frac{-15}{35}\:are:\\\\\\\boxed{\boxed{\boxed{\frac{-5}{35},\frac{5}{35}\:and\frac{12}{35}}}}$