Question

The number 3.145 bar on 45 when expressed as a rational number in lowest form, is equal to​

Answer 1

Answer:

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Answer 2

The correct question: Find the number equal to 3.145 (with a bar on 45) when expressed as a rational number in its lowest form.

The correct answer can be calculated as follows.

Given:

The given number = 3.1454545...

To Find:

We have to find a number equal to 3.145 (with a bar on 45) when expressed as a rational number in its lowest form.

Solution:

Let x = 3.1454545...

On multiplying both sides of the above equation by 10, we get,

$10x = 31.454545...$

Let this be equation 1.

Multiply both sides of equation (1) by 100 to get,

$1000 x = 3145.4545...$

Let this be equation 2.

On subtracting equation (1) from equation (2), we get,

$1000 x - 10x = (3145.4545...) - (31.454545...)$

$i.e., 990 x = 3114$

∴, $x = \frac{3114}{990}$

On simplifying,

$x = \frac{1557}{450}.$

Hence, the number equal to 3.145 (with a bar on 45) when expressed as a rational number in its lowest form is $\frac{1557}{450}$.

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