Express each of the following as a fraction in simplest form.
i. ii.
iii. iv.
v. vi.
i) Let x = 0. - (i)
Multiply 10 on both sides -
10x = 8. - (ii)
Subtract the equations (i) from (ii) -
9x = 8
So x =
ii) Let x = 2. - (i)
Multiply 10 on both sides -
10x = 24. - (ii)
Subtract the equations (i) from (ii) -
9x = 22
So x =
iii) Let x = 0. - (i)
Multiply 100 on both sides -
100x = 24. - (ii)
Subtract the equations (i) from (ii) -
99x = 24
So x = =
iv) Let x = 0.1 - (i)
Multiply 10 on both sides -
10x = 1. - (ii)
Multiply 10 on both sides -
100x = 12. - (iii)
Subtract the equations (ii) from (iii) -
90x = 11
So x =
v) Let x = 2.2 - (i)
Multiply 10 on both sides -
10x = 22. - (ii)
Multiply 10 on both sides -
100x = 224. - (iii)
Subtract the equations (ii) from (iii) -
90x = 202
So x = =
vi) Let x = 0. - (i)
Multiply 1000 on both sides -
1000x = 365. - (ii)
Subtract the equations (i) from (ii) -
999x = 364
So x =