Question

Find a rational number between 1/5 and 2/3​

Answer 1

ANSWER :

⅕ and ⅔

Here denominators of fractions are different so first let's make them equal by taking L.C.M .

L.C.M of 5 and 3 = 15

Now solving,

$= \: \: \: \tt\dfrac{1 \times 3}{5 \times 3} = \dfrac{3}{15} \: \:$

$= \: \: \: \tt\dfrac{2 \times 5}{3 \times 5} = \dfrac{10}{15} \: \:$

So, the rationals between ⅗ and 10/5 are :

$\rightarrow \bf \: \dfrac{4}{15} \: , \: \dfrac{6}{15} \: ,\dfrac{7}{15} . \: \: . \: \: . \: \: \: . \: etc.$