Question

when the repeating decimal 10.363636...is written in simplest fractional form p/q find the value of p+q

Answer 1

Hi ,

let x = 10.363636...------( 1 )

multiply equation ( 1 ) with 100

100x = 1036.363636...-----( 2 )

subtract ( 1 ) from equation ( 2 )

99x = 1026

x = 1026 / 99

x = 114 / 11 ( p / q form )

p = 114 ,

q = 11

p + q = 114 + 11 = 125

I hope this helps you

:)

Answer 2

Step-by-step explanation:

let it be x

100x = 1036.36363636

(-) x = 10.36363636

99x = 1026

x = 1026/99

x = 114/11

p + q = 114 + 11

= 125