Question

Find Seven Rational Numbers between
3/7 & 4/9​

Answer 1

$\large{\text{\red{A}}}{\text{\orange{N}}{\text{\green{S}}{\text{\purple{W}}{\text{\blue{E}}{\text{\pink{R}}{\text{\gray{:-}}}}}}}}$

271/630, 272/630, 273/630, 274/630, 275/630, 276/630, 277/630

Step-by-step explanation:

$\large{\red{\fbox{Given:-}}}$

Find Seven Rational Numbers between

3/7 & 4/9

$\large{\red{\fbox{Solution:-}}}$

• The LCM of 7 and 9 is 63.

$\red{\mathfrak{\underline{Now,}}}$

$\frac{3}{7} = \frac{3}{7} \times \frac{9}{9} = \frac{27}{63}$

$\frac{4}{9} = \frac{4}{9} \times \frac{7}{7} = \frac{28}{63}$

Here, the seven rational number between 27/63 and 28/63 are not come.

$\red{\mathfrak{\underline{So,}}}$

$\frac{27}{63} = \frac{27}{63} \times \frac{10}{10} = \frac{270}{630}$

$\frac{28}{63} = \frac{28}{63} \times \frac{10}{10} = \frac{280}{630}$

The seven rational number between 270/630 and 280/630 is 271/630, 272/630, 273/630, 274/630, 275/630, 276/630, 277/630.