Question

Represent 0.72 (bar on 7 and 2) in p ÷ q form, where P and q are integers and q is not equal to o​

Answer 1

Answer:

let ,

x= 0.72(bar on 7and 2)............equation 1

multiply both sides by 100

100*x = 100 * 0.72( bar on 7and 2)

100x = 72.727272( bar on right side of 7 and2) .......... equation 2

subtract eqn 1 from eqn 2

100 x - x = 72.727272 - 0.72 (bar on 7and 2)

99 x = 72

x = 72 /99

=8/11

Answer 2

p = 8 and q = 11

Let,

x = 0.727272 (bar over 7 and 2)

Multiplying both sides by 100 we get,

100*x = 72.727272

Substracting x from 100x,

100x - x = 72.727272 - 0.72727272

∴ 99x = 72

∴ x = 72 / 99

∴ x = 8 / 11

The above given number is an example of an irrational number. The bar over 7 and 2 represents that the number does not terminate and 7 and 2 keeps on continuing.