If you subtract 1/2 from a number and multiply the result by 1/2, you get 1/8. What is the number?

If you subtract 1/2 from a number and multiply the result by 1/2, you get 1/8. What is the number?

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  1. Let the number be x .

    A\Q

    (x – 1/2) × 1/2 = 1/8

    => 1/2x – 1/4 = 1/8

    => 1/2x = 1/8+1/4

    => 1/2x = 1/8 +1×2/4×2

    => 1/2x = 1/8 + 2/8

    => 1/2x = 1+2/8

    => 1/2x = 3/8

    => x = 3×2/8×1

    => x = 6/ 8

    By canceling

    x= 3/4

    answer is 3/4

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