Question

express the following in the form p/q, where p and q are integers and q ≠ 0
1) 0.6 (there's a bar over it)
2) 0.47 (there's a bar over it)
3) 0.001 (there's a bar over it)

Answer 1

Step-by-step explanation:

$let \: x = 0.6666666..\\ then \\ = > x = 0.6666.. \\ = > 10x = 6.6666 \\ = > 10x = 6 + 0.666 \\ = > 10x = 6 + x \\ = > 9x = 6 \\ = > x = \frac{6}{9} \\ = > x = \frac{2}{3} \\ therefore \: 0.6666.. = \frac{2}{3}$

$let \: x = 0.474747..\\ = > x = 0.474747.. \\ = > 100x = 47.474747\\ = > 100x = 47 + 0.474747 \\ = > 100x = 47 + x \\ = > 99x = 47 = > x = \frac{47}{99} \\ therefore \: 0.474747= \frac{47}{99}$

Answer 2

this is your answer

hope it's helpful