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Blast into Math! Mathematical perspectives: all aour mase are melong to us

We’re in luck, because

1 1
= .
4 2 2

So,

3 1 1
= + .
4 2 2 2

3
3
3. To write in base 2, we list the digits which are the numerators. So, we’d write in base 2
4 4
as 0.11.

Let’s do another example. Let’s write in base 6.
3
4
1
1. First we check whether or not > . Since > , we need to determine its digit. This is
3
3
1
4 6 4 6
3 x
the largest x ∈ Z such that ≥ . This digit is 4 because
4 6
3 4 3 5
≥ but < .
4 6 4 6

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