Question

Convert into rational form: 7.4245bar.​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The rational form is $7.\overline{4245}=\frac{24746}{3333}$

Step-by-step explanation:

Given : Expression $7.\overline{4245}$

To find : Convert into rational form ?

Solution :

Let $x=7.42454245...$ ....(1)

Multiply both side by 10000,

$10000x=74245.42454245...$ .....(2)

Subtract (1) and (2),

$10000x-x=(74245.42454245.....)-(7.42454245....)$

$9999x=74238$

$x=\frac{74238}{9999}$

$x=\frac{24746}{3333}$

Therefore, the rational form $7.\overline{4245}=\frac{24746}{3333}$

#Learn more

Express 3.42 (bar on 42) in p/q form.

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