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If you subtract 1/2 from a number and multiply the result by 1/2 you get 1/8 what is the number?
Verified Answer
If you subtract 1/2 from a number and multiply the result by 1/2 you g...
Let the number x
Given 1/2 is subtracted from x
hence the number is (x – 1/2)
When 1/2 is multiplied by (x – 1/2) the resultant number is 1/8.
⇒ (1/2)(x – 1/2) = (1/8)
⇒ (x – 1/2) = (1/4)
⇒ 4x – 2 = 1
⇒ 4x  = 3
∴ x = 3/4
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If you subtract 1/2 from a number and multiply the result by 1/2 you g...
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If you subtract 1/2 from a number and multiply the result by 1/2 you g...
Understanding the Problem:
To solve this problem, we need to find a number such that when we subtract half of it and then multiply the result by half, we get 1/8.

Let the number be x:
1. Subtracting half of the number from itself: x - 1/2x = 1/2x
2. Multiplying the result by 1/2: (1/2) * (1/2x) = 1/4x

Forming the Equation:
Given that the result is 1/8, we can set up the equation:
1/4x = 1/8

Solving for x:
1. Multiply both sides by 4 to get rid of the fraction: x = 1/8 * 4
2. Simplify: x = 1/2

Therefore, the number is 1/2.

Explanation:
When we subtract half of 1/2 from 1/2, we are left with 1/4. Multiplying 1/4 by 1/2 gives us 1/8, as required by the problem. So, the number that satisfies the given conditions is indeed 1/2.
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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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