Question

convert 2.6(bar on 6) in p/q form​

Answer 1

Answer:

x = 2.66

10x = 26.6

9x = 24

x = 24/9 = 8/3

Answer 2

➲QUESTION :

• Express in p/q form :$\sf{2. \bar {6}}$

☯ GIVEN :

• $\bf {2. \bar{6}}$

☯ TO FIND :

• p/q form of $\bf {2. \bar {6}}$

➲SOLUTION :

Let

• $\tt{x = 2. \bar{6}\: \: \:eq (1)}$

By Multiplying 10 in eq(1) on both sides :

• $\tt{10x = 26 .\bar{6}\: \: \: eq(2)}$

By subtracting equation (1) from equation (2) :

$\implies{ \sf{10x -x = 26 .\bar {6} -2.\bar{6} }}$

$\implies{ \sf{9x = 24}}$

$\implies \sf{ x= \cancel{ \dfrac{24}{9} }}$

$\implies\underline {\pink{\boxed { \bf{ x= {\dfrac{8}{3} }}}}}$

$\huge {\red{\therefore}}$p/q form of $\sf {2. \bar6}$ =$\bf{\dfrac{8}{3}}$