Question

express 0.437whole bar in form of p/q

Answer 1

see the pic for the answer

Answer 2

The p/q form of the number 0.437... is 437/999.

Given,

A non-terminating and non-recurring number 0.437437...

To Find,

The number 0.437437... in p/q form.

Solution,

Let us assume that

x = 0.437437... ----(i), assume it as equation number (i)

Now, we will multiply both sides of the equation with 1000

1000x = 437.437...---(ii), assume it as equation (ii)

Now, we will subtract equation (i) from equation (ii)

1000x-x = 437.437...-0.437...

Now, we will solve this linear equation to get the value of x.

999x = 437

x = 437/999, which is the p/q form of the number 0.437...

Hence, the p/q form of the number 0.437... is 437/999.

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