Express 0.254 5454 dotdotdot as fraction in simplest form
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stepwise answer is given
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zee95:
This is wrong dear
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Let x = 0.25454545 . . . . . (a)
Multiply eqn (a) by 10
10 x = 10 x 0.25454545 . . . .
10 x = 2.54546454 . . . .eqn (1)
Multiply eqn (a) by 100
1000 x = 1000 x 0. 2545454 ....
1000 x = 254.545454 .... eqn (2)
Substract equation 2 from 1
I.e
1000 x = 254.545454 ....
10 x = 2.545454 ....
______________________
990 x = 252.0
Therefore
x = 252/990 Cancel using 2 table
x = 126/495 Cancel using 3 table
x = 42/ 165 Cancel using 3 table
x = 14/ 55
Hope it helps
Multiply eqn (a) by 10
10 x = 10 x 0.25454545 . . . .
10 x = 2.54546454 . . . .eqn (1)
Multiply eqn (a) by 100
1000 x = 1000 x 0. 2545454 ....
1000 x = 254.545454 .... eqn (2)
Substract equation 2 from 1
I.e
1000 x = 254.545454 ....
10 x = 2.545454 ....
______________________
990 x = 252.0
Therefore
x = 252/990 Cancel using 2 table
x = 126/495 Cancel using 3 table
x = 42/ 165 Cancel using 3 table
x = 14/ 55
Hope it helps
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