mmurphy13 mmurphy13

21-06-2017
Mathematics

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What is the fractional equivalent of 0.2666...?

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Allysia123 Allysia123

21-06-2017

Let 0.26666... be x ------ equation 1
By multiplying both sides with 100
100x = 26.66666.... ------- equation 2

By subtracting equation 1 from equation 2
100x-x = 26.66666.... - 0.26666
99x = 26.4
x = 264/990
x = 4/15 (in standard form)

So 0.2666.. is equal to fraction 4/15

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