Question

Prove algebraically that the recurring decimal 0.72 (both recurring) =8/11.
im on maths watch and it is saying ⬇️ is wrong please help thank you
x=0.72
100x = 72.72
100x-x=99x
72.72-0.72=72
72/99

Answer 1

Answer:

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Answer 2

x = 72/99  = 8/11

Step-by-step explanation:

0.7272727272727272727

divide by 100 = 0.00727272727.

Let x = 0.727272727272727272727

x - (1/100) x = 0.72

(99/100)x = 0.72

99x = 72 x

x = 72/99  = 8/11