Question

express 5.4 bar as a rational number​

Answer 1

Answer:

Hey ,your answer is 49/9

Answer 2

Step-by-step explanation:

$5. \bar4$

$Let \: \frac{p}{q} = 5.444... - - - (i)$

On multiplying 10 on both the sides -

$10 \frac{p}{q} = 54.4444... - - - (ii)$

Subtracting Equation (i) from Equation (ii) -

$\scriptsize10 \frac{p}{q} - \frac{p}{q} = (54.444...) - (5.444...)$

$9 \frac{p}{q} = 49$

$\frac{p}{q} = \frac{49}{9}$

I hope it is helpful