Question

compare the given rational numbers 8/9 and 10/11​

Answer 1

$\bf\huge\gray{Answer}$

Let's compare the given rational numbers ✔️

$\sf{ = > > \frac{8}{9} \: and \: \frac{10}{11} }$

$\sf{ = > > \frac{8 \times 11}{9 \times 11} = \frac{88}{99} }$

$= > > \frac{10 \times 9}{11\times 9} = \frac{90}{99}$

As the denominator in both given rational number are equal , checking ✔️ numerator we get 88 < 90,

$\sf{ = > \frac{88}{99} < \frac{90}{99} }$

$\bf \huge \gray{Therefore}$

$\bf \huge \boxed{ \frac{8}{9} < \frac{10}{11} }$

• 10/11 is greater than 8/9

hence proved !