Express the recurring decimal 0.777.....in p÷q form
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0.777
let x= 0.777
x.= 0.777777
1000× x = 1000 × 0.777...
1000x= 777.77...
1000x - x= 777.777- 0.777
999x. = 777
x = 777/999
This is ans
let x= 0.777
x.= 0.777777
1000× x = 1000 × 0.777...
1000x= 777.77...
1000x - x= 777.777- 0.777
999x. = 777
x = 777/999
This is ans
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1
Answer:
Let x = 0.777... = 0.7
=> 10 x = 7.777... = 7.7
=> 10x -x = 7.7 - 0.7
=> 9x = 7
=> x = 7 / 9
=> 0.777... = 7 / 9
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