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Convert 78939990\frac{7893}{9990}99907893​​ to its recurring decimal form.
Question

Convert 78939990\frac{7893}{9990}​ to its recurring decimal form.

A.

0.79900.7\overline{990}

B.

0.79000.7\overline{900}

C.

0.7900.7\overline{90}

D.

0.7990.\overline{799}

Correct option is B

Given:

78939990\frac{7893}{9990}​​

Solution:

78939990=8771110 8771110=.79000900\frac{7893}{9990} = \frac{877}{1110}\\ \ \\\frac{877}{1110} = .79000900

900 repeated number 

= 0.79000.7\overline{900}​​

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