Question

Express 3
.435 bar on 35 in p by q form

Answer 1

Answer:

Given number = 3.4353535....

Let X equal the decimal number

Equation 1:

X=3.435¯¯¯¯¯(1)

With 2 digits in the repeating decimal group,

create a second equation by multiplying

both sides by 102 = 100

Equation 2:

100X=343.535¯¯¯¯¯(2)

Subtract equation (1) from equation (2)

100X x 99X===343.535...3.435...340.1

We get

99X=340.1

Solve for X

X=340.199

Multiply to eliminate 1 decimal places.

Here you multiply top and bottom by 1 10's

= 101 = 10

340.199×1010=3401990

Simplify the improper fraction,

=3431990

In conclusion,

3.435¯¯¯¯¯=3431990