Question

Express each of the following decimals in the rational form (p/q) 12•28

Answer 1

Step-by-step explanation:

Let,

x = 0.729729729....

This is equation 1

Multiply with 1000

1000x = 729.729729729....

This is equation 2

Now,

Equation 2- equation 1

1000x = 729.729729....

x = 0.729729....

999x = 729

x = 729/999

This is p/q form of 0.729(bar)

Answer 2

Let,

x = 0.729729729....

This is equation 1

Multiply with 1000

1000x = 729.729729729....

This is equation 2

Now,

Equation 2- equation 1

1000x = 729.729729....

x = 0.729729....

999x = 729

x = 729/999

This is p/q form of 0.729(bar)

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