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Determine the fraction of money the youngest boy received.

Mathematics

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Answer

38\frac{3}{8}

Step-by-step solution

4 steps
  1. Determine the fraction of money the youngest boy received.

    The youngest boy received 12\frac{1}{2} of the total money.

  2. Calculate the remainder after the youngest boy's share.

    The remainder is the total money minus the youngest boy's share.

    1−12=121 - \frac{1}{2} = \frac{1}{2}

    So, 12\frac{1}{2} of the total money remained.

  3. Determine the fraction of money the next boy received.

    The next boy received 14\frac{1}{4} of the remainder.

    14×12=18\frac{1}{4} \times \frac{1}{2} = \frac{1}{8}

    So, the next boy received 18\frac{1}{8} of the total money.

  4. Determine the fraction of money the eldest boy received.

    The eldest boy received the remaining money. This is the remainder from Step 2 minus the next boy's share.

    12−18\frac{1}{2} - \frac{1}{8}

    To subtract these fractions, find a common denominator, which is 8.

    48−18=38\frac{4}{8} - \frac{1}{8} = \frac{3}{8}

    The eldest boy received 38\frac{3}{8} of the total money.

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