Question

insert 4 rational number between 4/ 5. and. 6/3​

Answer 1

To find : $4$ rational numbers between $\frac{4}{5}$  and $\frac{6}{3}$

Solution :

• According question we have to find rational numbers between $\frac{4}{5}$  and $\frac{6}{3}$for this we need to equalize denominators of the rational numbers by taking LCM .
• Therefore , LCM = $15$

• Now , multiplying numerators by same numbers as multiplied by denominator to make LCM .
• We get , $\frac{4}{5} = \frac{4\times 3}{15} = \frac{12}{15}$   and   $\frac{6}{3} = \frac{6\times 5}{15} = \frac{30}{15}$
• Now , we can find rational numbers between $\frac{12}{15}$ and  $\frac{30}{15}$
• They are : $\frac{13}{15} , \frac{14}{15} , \frac{15}{15} , \frac{16}{15}$

Hence , $4$ rational numbers between $\frac{4}{5}$  and $\frac{6}{3}$ are $\frac{13}{15} , \frac{14}{15} , \frac{15}{15} , \frac{16}{15}$ .