How do you convert 0.2 to a fraction?

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How do you convert 0.2 to a fraction?

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Answer 1 · 2018-03-03T02:08:51

$0.2 = \frac{2}{10} = \frac{1}{5}$ $0.2=2/10=1/5$

Explanation:

When we write decimals, what they represent is each digit raised to a corresponding power of $10$ $10$ and added together. For example, $12345.6789$ $12345.6789$ is actually representing
$1 \times 10^{4} + 2 \times 10^{3} + 3 \times 10^{2} + 4 \times 10^{1} + 5 \times 10^{0} + 6 \times 10^{- 1} + 7 \times 10^{- 2} + 8 \times 10^{- 3} + 9 \times 10^{- 4}$ $1xx10^4+2xx10^3+3xx10^2+4xx10^1+5xx10^0+6xx10^-1+7xx10^-2+8xx10^-3+9xx10^-4$
So, to look at $0.2$ $0.2$ , we recognize that
$0.2 = 0 \times 10^{0} + 2 \times 10^{- 1} = 0 + 2 \times \frac{1}{10} = \frac{2}{10} = \frac{1}{5}$ $0.2=0xx10^0+2xx10^-1=0+2xx1/10=2/10=1/5$

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How do you convert 0.2 to a fraction?

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