Question

express 0.46573(bar on 573) to p/q form

Answer 1

Answer:

46527/99900

Step-by-step explanation:

Let x = 0.46573 ...

Find 10000x

x = 0.46573 ...

100000 x = 0.46573 ... x 100000

100000 x = 46573.573 ...

Find 100x

x = 0.46573 ...

100x = 46.573 ...

Find x:

100000x - 100x = 46573.573 ... - 46.573 ...

99900x = 46527

x = 46527 ÷ 99900

x = 46527/99900

Answer: 46527/99900

Answer 2

46/10+0.573..../10

let x=0.573... (1)

10x=5.73573... (2)

from (1)&(2) (2)-(1)

9x=5

x=5/9

hence 46/10+5/90

=23/5+1/18

=(414+5)/90

=419/90