Question

Express 0.373737... and 32.7777... in the form of p/q.

Answer 1

x = 0.373737....
10x = 3.73737...
100x =37.373737...
Subtract 1st from 3rd
99x = 37
x =37/99

x =32.7777
10x =327.777
Subtract eq 1st from 2nd
9x = 295
x = 295/9

Answer 2

Answer:

1) 0.373737... -  x=37/99 is the required p/q form.

2)32.7777...-   x=295/9 is the required p/q form.

Step-by-step explanation:

Given : Expression - 0.373737....  and  32.777777.....

To express : In p/q form

Solution :

1) Let x=0.373737....  Equation [1]

Multiply both side by 100

100x=37.3737...... Equation [2]

Subtract [1] from [2]

100x-x=(37.3737....) - (0.373737.....)

99x=37

x=37/99 is the required p/q form.

2) Let x=32.7777....    Equation [1]

Multiply both side by 10

10x=327.7777...      Equation [2]

Subtract [1] from [2]

10x-x=(327.777.....) - (32.7777.....)

9x=295

x=295/9 is the required p/q form.