Question

find the rational form of 2.bar2345​

Answer 1

Answer:

Your answer...............

Answer 2

Answer:

Step-by-step explanation:

ANSWER:-

Rational Form of numbers is also known as p/q form,

where we generally create non terminating numbers into their fractional form.

Let $\rm{ 2.\overline{2345}} = x$ ____________________(1)

So, 10x = $\rm{ 22.\overline{345}}$

100x = $\rm{ 223.\overline{45}}$

1000x = $\rm{ 2234.\overline{5}}$

10000x = $\rm{ 22345.\overline{2345}}$____________________(2)

Subtracting (2) from (1),

9999x = 22343

x = $\frac{22343}{9999}$

$\boxed{\frac{22343}{9999} \textsf{is the Rational Form.}}$

Things to note:-

• Always form the number in p/q form
• First find the 'x' factor
• Covert until whole barred number is in front
• Subtract the number
• Get the fraction