Question

express 5.3 (bar on 3 ) in the form of p/q​

Answer 1

I hope this helped you

Answer 2

$\boxed{\red{5.\bar{3} = \frac{16}{3}}}$

SOLUTION:

Let x = 5.33333........ -------(i)

Now,

• By multiplying 10 to both the sides of the equation (i), we will get,

10 * x = 10 * 5.33333.......

10x = 53.333333.......  -----(ii)

Now,

• Subtracting the equation(i) from equation (ii), we will get,

10x = 53.333333.......  -----(ii)

-  x  =   5.33333............ -------(i)

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9x = 48.00000............

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So,

⇒ 9x = 48

⇒ x = 48/9

[By transporting 9 to RHS]

⇒ x = 16/3

[By simplifying 48/9, as both are divisible by 3, and 48/3 = 16, 9/3 = 3]

So,

The value of x = 5.33..... = 16/3 in p/q form, in which p and q are integers and q ≠ 0.