Unit Fraction Uniqueness 4

If a unit fraction has an even denominator, then doubling it(multiplying by 2) will cut the denominator in half!

Observe the table below:

Unit FractionUnit Fraction Multiplied by 2
1/21/1
1/41/2
1/61/3
1/81/4
1/101/5
1/121/6
1/141/7
1/161/8
1/181/9
1/201/10
1/301/15
1/401/20
1/501/25
1/1001/50
1/1,0001/500
1/1061/500,000
1/d1/(½d) or 1/(d/2)

1/1 = 1; surely, you already know that! 106 = 1,000,000 & half of that is 500,000.

The bigger the denominator, the smaller the fraction.

1/d < 1/(½d) or 1/(d/2) since making the denominator of a unit fraction bigger makes the fraction smaller. (Negative numbers unconsidered)

I almost forgot something! Zero(0) is technically an even number, but since division by zero is undefined, the variable d can't be equal to zero!

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© Derek Cumberbatch