Question

Which of the following numbers lie between 1/2 and 1/3 ? ​

Answer 1

Answer:

The rational numbers lying between is 1 / 3 and 1 / 2 . Therefore , 1 / 3 < 3 / 8 < 1 / 2. Therefore , 5 /12 < 11 / 24 < 1 / 2.

Answer 2

The numbers lying between 1/2 and 1/3 are 11/30, 12/30, 13/30, and 14/30.

• 1/2 and 1/3 are two rational numbers and infinite numbers can lie between any two rational numbers.
• To find some numbers that lie between 1/2 and 1/3 first, the denominator of both have will be made the same.                     $\frac{1}{2} *\frac{3}{3} = \frac{3}{6}$ and $\frac{1}{3} *\frac{2}{2}= \frac{2}{6}$

• Then we have to multiply both numerator and denominator from a natural number.

      $\frac{2}{6} *\frac{5}{5} =\frac{10}{30}$     and  $\frac{3}{6} *\frac{5}{5} =\frac{15}{30}$

• Then we can find the numbers lying between the two rational numbers.

     $\frac{11}{30} ,\frac{12}{30} ,\frac{13}{30} ,\frac{14}{30}$