Question

Question:-) show that 4.035 in the form of p/q where p and q are integers and q is not equal to 0.


help me❣️

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Answer 1

Answer:

The p/q form of the no. 4.035 (bar in 35)

Is 799 upon 198

Given : Expression 4.035 (bar in 35)

To find : Express the expression in p/q form?

solution :

let the no. be x = 4.0353535.. .......(1)

the periodicity in the no. is 2.

so, multiply equation (1) by 100,

100x = 403.53535............(2)

subtract equation (1) from (2),

100x - x = (403.53535..) - (4.0353535..)

99x = 3999.5

x = 399.5 upon 99

x = 799 upon 198

therefore, the p/q form of the no. 4.035

(bar in 35) is 799 upon 198

hence problem solved

btw saakshi in which school you are ??

Answer 2

Answer:

The answer is

$\frac{799}{198} \: if \: 35 \: in \: 4.035 \: is \: repeating$

$\frac{807}{200 \:} \: if \: it \: is \: just \: 4.035$

Step-by-step explanation:

For recurring decimals there one simple way to solve

Just have a look at the picture I uploaded from a standard book of algebra

Hope you can understand well

Thank you !☺️☺️