Question

find a rational number between
$\frac{1}{3} and \frac{1}{2}$
​

Answer 1

Question :-

find a rational number between $\dfrac{1}{3} and \dfrac{1}{2}$

Solution :-

Step : 1 firstly take L.C.M of 3 and 2

L.C.M of 3 and 2 = 3 × 2

= 6

Step 2 Make the fraction's equivalent.

• $\dfrac{1}{3}$ = $\dfrac{1×2}{3×2}$ = $\dfrac{2}{6}$

• $\dfrac{1}{2}$ = $\dfrac{1×3}{2×3}$ = $\dfrac{3}{6}$

Step : 3 Now , it becomes like fractions, now multiply both by 2

• $\dfrac{2}{6}$ = $\dfrac{2×2}{6×2}$ = $\dfrac{4}{12}$

• $\dfrac{3}{6}$ = $\dfrac{3×2}{6×2}$ = $\dfrac{6}{12}$

Rational number between them are :-

• $\dfrac{5}{12}$

________

One more Example for understanding more :-

find a rational number between $\dfrac{6}{12} and \dfrac{8}{12}$

Solution :-

• $\dfrac{6}{12}$ = $\dfrac{6×2}{12×2}$ = $\dfrac{12}{24}$

• $\dfrac{8}{2}$ = $\dfrac{8×2}{12×2}$ = $\dfrac{16}{24}$

3 Rational Numbers between them

• $\dfrac{13}{24}$ , $\dfrac{14}{24}$ , $\dfrac{15}{24}$