Question

Find seven rational numbers between 3/9 and 2/14

Answer 1

Step-by-step explanation:

0.35 , 0.36 ,0.37 , 0.38 ,0.344 , 0.358, 0.399 ,

Answer 2

Seven rational numbers between  $\dfrac{3}{9}$ and $\dfrac{2}{14}$   are

$\dfrac{24}{168} ,\dfrac{25}{168},\dfrac{26}{168},\dfrac{27}{168},\dfrac{28}{168},\dfrac{29}{168},\dfrac{30}{168}$

Step-by-step explanation:

To find : seven rational numbers between $\dfrac{3}{9}$ and $\dfrac{2}{14}$  

on simplifying fractions we get

$\dfrac{3}{9}= \dfrac{1}{3}$   and    $\dfrac{2}{14}= \dfrac{1}{7}$

Therefore we have to find seven rational numbers between

$\dfrac{1}{3} \text{ and } \dfrac{1}{7}$

Now for making the value of denominator same

$\dfrac{1}{3} \times \dfrac{7}{7} \text{ and } \dfrac{1}{7}\times \dfrac{3}{3} \\\\\Rightarrow \dfrac{7}{21} \text{ and } \dfrac{3}{21}$

Now as we have to find seven rational numbers so we multiply the numerator and denominator by 8

$\dfrac{7}{21} \times \dfrac{8}{8} \text{ and } \dfrac{3}{21}\times \dfrac{8}{8} \\\\\Rightarrow \dfrac{56}{168} \text{ and } \dfrac{24}{168}$

Hence, the seven rational numbers between  $\dfrac{3}{9}$ and $\dfrac{2}{14}$   are

$\dfrac{24}{168} ,\dfrac{25}{168},\dfrac{26}{168},\dfrac{27}{168},\dfrac{28}{168},\dfrac{29}{168},\dfrac{30}{168}$

#Learn more

How to find 5 rational number between 3 and 4

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