10th Class Mathematics Real Numbers Question Bank Real Numbers

  • question_answer
    \[1.22\overline{4}\]can be expressed as a fraction in simplest form as ____.

    A) \[\frac{450}{551}\]                            

    B) \[\frac{1224}{1000}\]

    C)         \[\frac{551}{450}\]               

    D)         \[\frac{1000}{1224}\]           

    Correct Answer: C

    Solution :

    Given number is \[1.22\overline{4}\] Let  \[x=1.22\overline{4}\]                             ??(i) Multiplying (i) by 10, we get \[10x=12.2\overline{4}\]  .?.(ii)             \[9x=12.2\overline{4}-1.22\overline{4}=11.02\]             \[\Rightarrow \]  \[x=\frac{1102}{900}=\frac{551}{450}\]

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