Question

Which of the following rational number lies between the rational number 5/9 and 7/12. *​

Answer 1

Step-by-step explanation:

Hope you will understand

Answer 2

Answer:

A rational number between  $\frac{5}{9} \ and \ \frac{7}{12}$ = $\frac{41}{72}$

Step-by-step explanation:

Required to find a rational number between two rational numbers $\frac{5}{9} \ and \ \frac{7}{12}$

Recall the concept

If 'a' and 'b' are any two rational numbers, then the mean of the two rational numbers $\frac{a+b}{2}$ lies between 'a' and 'b'

Solution:

A rational number between  $\frac{5}{9} \ and \ \frac{7}{12}$ =  mean of $\frac{5}{9} \ and \ \frac{7}{12}$

= $\frac{ \frac{5}{9} + \frac{7}{12}}{2}$

LCM 9 and 12 = 36

= $\frac{\frac{20+21}{36} }{2}$

=  $\frac{\frac{41}{36} }{2}$

=$\frac{41}{72}$

∴ A rational number between  $\frac{5}{9} \ and \ \frac{7}{12}$ = $\frac{41}{72}$

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