But how does 0.2 convert to 1/5?

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But how does 0.2 convert to 1/5?

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Answer 1 · 2018-04-04T02:07:47

$0.2=2/10=1/5$

Explanation:

$0.2$ is two-tenths, which is $2/10$ . Reduce $2/10$ to $1/5$ .

Answer 2 · 2018-04-04T02:30:55

$0.2=2/10=1/5$

Explanation:

To convert from decimals to fractions, divide numbers in the tenths place (e.g. 0.7) by ten, numbers in the hundredths place (e.g. 0.45, 0.03, etc.) by one hundred, and so on. A more "mathematical" approach is to multiply the decimal by a power of ten for every number after the decimal (e.g. $0.45 *100 = 45$ ), divide by that power of ten (e.g. $45/100$ ), then reduce ( $45/100=9/20$ ). For 0.2, the tenths place, 2, is divided by 10: $2/10$ , which reduces to $1/5$ (alternatively, $(0.2*10)/10=2/10=1/5$ ).

To convert from fractions to decimals, use division. For $1/5$ , divide 1 by 5 (demonstrating long division is kind of difficult on Socratic, however) which equals 0.2. (Other examples: $3/7 = 0.4286$ , $9/8 = 1.125$ )

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But how does 0.2 convert to 1/5?

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