Question

convert 0.407(bar on 7) into p/q form

Answer 1

Let x = 0.40777777.....

100x = 40.77777..... ----------(1)

1000x = 407.77777...... --------(2)

On subtracting equation 1 from 2, we get

900x = 367

=> x = 367/900

Answer 2

hiii!!!

here's ur answer...

given :- 0.407777777...

let x be = 0.40777777... -------(1)

multiplying both sides by 10.

10 × x = 10 × 0.407777777...

10x = 4.0777777... -------(2)

subtract equation (1) from equation (2)

10x - x = 4.0777777... - 0.40777777...

9x = 3.67

x = 3.67/9

we know that p and q should be integers.

therefore x = 3.67×100/9×100

= 367/900

hope this helps...!!