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Discussion :: Decimal Fraction

  1. The expression [24.23 * 1.423 * 34.21]/ [521.3 * 413.32 * 2.53] is the same as

  2. A.
    [2423*1423*3421]/ [5213 * 41332 * 253]
    B.
    [242.3*142.3*3421]/ [5213*4133.2*2.53]
    C.
    [2.423*14.23*342.1]/ [521.3*4133.2*2.53]
    D.
    None of these

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    Answer : Option C

    Explanation :

    The value of actual expression [24.23 * 1.423 * 34.21]/ [521.3 * 413.32 * 2.53] = 0.002163
    Now, According to option a [2423*1423*3421]/ [5213*41332*253] = 0.2163
    Now, According to option b [242.3*142.3*3421]/ [5213*4133.2*2.53] = 2.1637
    Now, according to option c [2.423*14.23*342.1]/ [521.3*4133.2*2.53] = 0.002163
    The option C gives the same value as the actual expression, so it is the correct answer.

    Solution 2:

    The original expression [24.23 * 1.423 * 34.21]/ [521.3 * 413.32 * 2.53] can be written as
    [2423*1423*3421*10*100*100]/ [5213*41332*253*100*1000*100]
    Or, [2423*1423*3421*105]/ [5213*41332*253*107]
    Or, [2423*1423*3421]/[5213*41332*253*102].......... (i)
    Now, according to option a [2423*1423*3421]/ [5213*41332*253]......... (ii)
    Now, according to option b [2423*1423*3421*103]/ [5213*41332*253*102]
    Or, [2423*1423*3421*10]/ [5213*41332*253]........ (iii)
    Now, according to option c [2423*1423*3421*104]/ [5213*41332*253*106]
    Or, [2423*1423*3421]/ [5213*41332*253*102].......... (iv)

    Since, equation i and iv have the same power of 10 in the denominator.

    Hence, we can say option C is the same as the actual expression.


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