Question

Express (0.47) (bar on 47) in the form of p/q where p and q are integers and q is not equal to 0 Answer in book : 47/90

Answer 1

Answer:

$0.474747....=\frac{47}{99}$

Step-by-step explanation:

$Let \:x=0.4747...---(1)$

Multiply equation (1) by 100 , we get

$\implies 100x=47.4747...--(2)$

Subtract equation (1) from equation (2), we get

$\implies 99x=47$

$\implies x = \frac{47}{99}$

Therefore,

$0.474747....=\frac{47}{99}$

•••♪

Answer 2

Answer:

$\bold{0 . \overline{47}}$ is expressed as 47/90.

Explanation:

Let, x = 0.47474747...... (i)

We can rewrite it as, 100x = 47.474747.... (ii)

On reducing (i) from (ii), we get

90x = 47

x = 47/90

Therefore, $0 . \overline{47}$ can be expressed in the form of p/q as = 47/90.

$0 . \overline{47}$ is counted among the irrational numbers because it never terminates. The numbers that never terminate are represented as a bar over them. For numerical purposes, we use these values by rounding them off.