Question

Find five rational numbers between 2/3 and 4/5 ​

Answer 1

Answer:

5 rational number are- 101/150,103/150,105/150,107/150,109/150

Step-by-step explanation:

Answer 2

${\underline {\underline {\huge {\bf { Required \: Answer: } }}}}$

Find five rational numbers between $\sf { \dfrac{2}{3} }$ and $\sf { \dfrac{4}{5} }$

$\implies$ Firstly let's make the both number's denominator same :–

• LCM of 3 and 5 is 15.

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

and

$\sf { \dfrac{4}{5} \times \dfrac{3}{3}= \dfrac{12}{15}}$

Now multiply both by 10.

$\sf { \dfrac{10}{15} \times \dfrac{10}{10}= \dfrac{100}{150}}$

$\sf { \dfrac{12}{15} \times \dfrac{10}{10}= \dfrac{120}{150}}$

So, five rational numbers between $\sf { \dfrac{2}{3} }$ and $\sf { \dfrac{4}{5} }$ are:–

• $\sf { \dfrac{111}{150} }$

• $\sf { \dfrac{112}{150} }$

• $\sf { \dfrac{113}{150} }$ ,

• $\sf { \dfrac{114}{150} }$ ,

• $\sf { \dfrac{115}{150} }$

• $\sf { \dfrac{116}{150} }$.

$\rm \blue { So, \: we \: are \: done!! }$

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