Question

Express each of the following decimals in the form p/q :-

i) 0.23 with bar on 3
ii)2.413 with bar on 13

Answer 1

Answer:

_

I) let 0.23 = x - eq 1

- multiply eq 1 by 10

_

- 10x = 2.3 - eq 2

-multiply eq 2 by 10

_

100x = 23. 3 - eq 3

subtract eq 2 from eq 3

90 x = 21

x = 21/90 ans

__

ii) let 2.413 = x - eq 1

-multiply eq 1 by 10

- 10x = 24.13 - eq 2

-multiply eq 2 by 100

- 1000x = 2413.13 - eq 3

- 990 x = 2389

x= 2389/990

hope it helps u

Answer 2

0.23 bar on 3
10x=2.3 bar on 3
100x=23.3
100x-10x = 23.3-2.3
90x=21
X=21/90= 7/30

2.413 bar on 13
10x= 24.13 bar on 13
1000x= 2413.13
990x= 2413.13-24.13
990x= 2389
X= 2389/990

Hope this help you :)