Question

write 6 rational number between -2/13 and 9/13​

Answer 1

$\underline{\large{\sf{\blue{Given:}}}}$

• We have been given two Rational numbers - 2/13 and 9/13

$\underline{\large{\sf{\blue{To \: Find:}}}}$

• We have to find 6 rational numbers between - 2/13 and 9/13

$\underline{\large{\sf{\blue{Concept :}}}}$

• Rational Numbers are the numbers that can be represented in the form of a/b where a and b are integers and b is not equal to zero
• Example : 1/2 , 3/2 , 5 etc

____________________

$\underline{\large{\sf{\blue{Solution:}}}}$

We have been given two rational numbers -2/13and 9/13 and we have to find 6 rational number between them.

Rule :

• If we have to find n Rational number between them , then we will multiply and divide both terms by (n+1)

As we have to find 6 Ratinonal numbers Dividing and Multiplying by 7 to both the numbers

$\longmapsto \sf{-\dfrac{2}{13} \times \dfrac{7}{7} = - \dfrac{14}{91}}$

$\longmapsto \sf{\dfrac{9}{13} \times \dfrac{7}{7} = \dfrac{63}{91}}$

Hence , 6 Rational numbers between are

$\underline{\boxed{\sf{\blue{\dfrac{62}{91}, \dfrac{61}{91}, \dfrac{60}{91}, \dfrac{59}{91}, \dfrac{58}{91} , \dfrac{57}{91}}}}}$

$\large{\gray{\underline{\underline{\sf{Extra \: Information:}}}} }$

• All integers are Rational Numbers
• All whole numbers are Rational Numbers
• All Fractional numbers are Rational Numbers
• All Decimal Numbers are Rational Numbers

Answer 2

Step-by-step explanation:

I hope it helpful for you completely