convert-0-26999999-into-fraction-a-b-where-a-0-

Question Number 36103 by mondodotto@gmail.com last updated on 28/May/18

convert 0.26999999 \dots into fraction

\frac{a}{b} where a \neq 0

Answered by MJS last updated on 28/May/18

= \frac{26}{100} + \frac{9}{900} = \frac{27}{100}

Commented by mondodotto@gmail.com last updated on 28/May/18

but 27 / 100 \neq 0.26999999 \dots

why

Commented by MJS last updated on 29/May/18

3 \times \frac{1}{3} = 3 \times . 333 \dots . . = . 999 \dots but 3 \times \frac{1}{3} = 1 \Rightarrow

\Rightarrow . 999 \dots = 1

Answered by Rio Mike last updated on 28/May/18

round up

0.27 \Rightarrow \frac{27}{100}

Answered by Penguin last updated on 28/May/18

x = 0.26999 \dots

100 x = 26.999 \dots

1000 x = 269.999 \dots

900 x = 243

x = \frac{243}{900}

x = \frac{27}{100}

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