What is 0.365 as a fraction?

Question

17650 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-17T05:25:30

$0.365 = \frac{73}{200}$ $0.365=73/200$

A number $abcd.lmnpq...$ can be expanded as

$axx10^3+bxx10^2+cxx10^1+d+l/10+m/10^2+n/10^3+p/10^4+q/10^5+.......$

Hence $0.365$ is

$3/10+6/10^2+5/10^3$

= $3/10+6/100+5/1000$

= $(3xx100)/(10xx100)+(6xx10)/(100xx10)+5/1000$

= $300/1000+60/1000+5/1000$

= $365/1000$

As numerator and denominator both are divisible by $5$ , this reduces to

$(73xx5)/(200xx5)=(73xxcancel5)/(200xxcancel5)=73/200$

Answer 2 · 2018-05-08T09:20:51

$73/200$

put $" "0.365" "$ over $1$

$0.365/1$

multiply top and bottom by the smallest multiple of $10$ that makes the top number a whole number

$0.365/1 xx1000/1000=365/1000$

now cancel down

divide by $5$

$365/100=73/200$

Answer 3 · 2018-05-13T18:20:33

$73/200$

By definition decimals are a way of writing fractions which have powers of $10$ as the denominator.

One decimal place represents tenths.
Two decimal places represent hundredths.
Three decimal places represent thousandths.

$0.365 = 365/1000$

$(365 div 5)/(1000 div 5) = 73/200" "larr$ simplify