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Rakib, Raja and Rajib paid a total of 369 taka for their dinner at a restaurant , If Rakib paid 2/3 of the total amount, Raja paid 82 taka and Rajib paid the rest,what fraction of the total amount did Rajib pay?

Rakib, Raja and Rajib paid a total of 369 taka for their dinner at a restaurant , If Rakib paid 2/3 of the total amount, Raja paid 82 taka and Rajib paid the rest,what fraction of the total amount did Rajib pay? Correct Answer 1/9

<math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>R</mi><mi>a</mi><mi>k</mi><mi>i</mi><mi>b</mi><mo>&#xA0;</mo><mi>p</mi><mi>a</mi><mi>i</mi><mi>d</mi><mo>&#xA0;</mo><mo>(</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><mi>o</mi><mi>f</mi><mo>&#xA0;</mo><mn>369</mn><mo>)</mo><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mn>246</mn><mi>t</mi><mi>k</mi><mo>.</mo><mspace linebreak = "newline"/><mo>&#x2234;</mo><mi>R</mi><mi>a</mi><mi>j</mi><mi>a</mi><mo>&#xA0;</mo><mi>p</mi><mi>a</mi><mi>i</mi><mi>d</mi><mo>&#xA0;</mo><mo> = </mo><mo>(</mo><mn>246</mn><mo> + </mo><mn>82</mn><mo>)</mo><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mn>328</mn><mo>&#xA0;</mo><mi>t</mi><mi>k</mi><mo>.</mo><mspace linebreak = "newline"/><mo>&#x2234;</mo><mi>R</mi><mi>a</mi><mi>j</mi><mi>i</mi><mi>b</mi><mo>&#xA0;</mo><mi>p</mi><mi>a</mi><mi>i</mi><mi>d</mi><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mo>(</mo><mn>369</mn><mo> - </mo><mn>328</mn><mo>)</mo><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mn>41</mn><mo>&#xA0;</mo><mi>t</mi><mi>k</mi><mo>.</mo><mspace linebreak = "newline"/><mo>&#x2234;</mo><mo>&#xA0;</mo><mi>R</mi><mi>a</mi><mi>j</mi><mi>i</mi><mi>b</mi><mo>&#xA0;</mo><mi>p</mi><mi>a</mi><mi>i</mi><mi>d</mi><mo>&#xA0;</mo><mi>o</mi><mi>f</mi><mo>&#xA0;</mo><mi>t</mi><mi>h</mi><mi>e</mi><mo>&#xA0;</mo><mi>t</mi><mi>o</mi><mi>t</mi><mi>a</mi><mi>l</mi><mo>&#xA0;</mo><mi>a</mi><mi>m</mi><mi>o</mi><mi>u</mi><mi>n</mi><mi>t</mi><mo>&#xA0;</mo><mo> = </mo><mfrac><mn>41</mn><mn>369</mn></mfrac><mo> = </mo><mfrac><mn>1</mn><mn>9</mn></mfrac></math>

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