Question

Express the following in the form p/q where p,q are integer and q is not equal to zero 6.127 ​

Answer 1

Hi Friend,

Here is your answer,

1. 0.6

Let us assume that x=0.6= 0.6666............------> (1)

Now, we need to Multiply equation (1) with 10

10x = 10×( 0.666...)

10x=6.666...

Subtracting equation(2) from equation(1)

10x-x=6.6666.... - 0.6666...

9x = 6

x= 9/6 = 2/3

2. 0.47 = 0.4777777----> (1)

Now we need to multiply with equation (1) with 10

10x = 10 × (0.47777)...

10x= 4.7777....

Now we need to subtract equation (2) from equation (1)

10x-x = 4.7777...- 0.47777.....

9x = 4.3000

x= 4.3 /9

Therefore x = 43/90

3) 0.001

Let us assume that x= 0.001 = 0.001001......

Now let us multiply equation with 1000

1000 x = 1000 × ( 0.001001...)

Now we need to subtract (2) equation (1) equation

1000x - x = 1.001001...- 0.001001...

999x = 1

x = 1/999

Hope it helps you!