Question

express the following numbers in the form of p/q where p&q are integer q≠ 0 .
a]. 0.35 ( there's a bar upon 35)
b]. 0.57 (there's a bar upon 7)

Answer 1

Let the value of x = 0.35 bar

x = 0.353535353535…

Multiply 100 on both side

100 x = 35.3535353535353…..

100x = 35 + 0.353535353535…

100x = 35 + x

100x – x = 35

99x = 35

X = 35/99

Similarly in the 0.57 bar it will be p=multiplied by 10 on both sides.

Then the sum will be taken as 7 + .57575757575...