Multiply the given decimal by 10^x where x is the number of digits after the decimal ( this makes the given decimal a whole number) and divide by the same 10^x . Wallah ! that is your fraction.
example: 0.345 = 0.345*10^3 / 10^3 = 345/1000
(simplyfy if required) = 69/200.
If it is a mixed decimal say 2.345 then retain the whole part as it is and covert the decimal part into the fraction :
if it is .1 you would place the 1 in the numerator and a 10 in the denominator so the fraction would be 1/10
if it is .01 you would place the 1 in the numerator and a 100 in the denominator so the fraction would be 1/100
the number behind the decimal is always the numerator and the # of spaces you can move the decimal to the right tells you how many 0's to use in the denominator
put the number over 1. So if you have .25 you will put .25/1. Next you will need to move the decimal point to the right enough spaces to make the decimal a whole number. so it would be .25/1.00 -> 25/100...then you simplify so the greatest common denominator is 25 for both 25 and 100 so you end up with (25/25)/(100/25) which = 1/4
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Multiply the given decimal by 10^x where x is the number of digits after the decimal ( this makes the given decimal a whole number) and divide by the same 10^x . Wallah ! that is your fraction.
example: 0.345 = 0.345*10^3 / 10^3 = 345/1000
(simplyfy if required) = 69/200.
If it is a mixed decimal say 2.345 then retain the whole part as it is and covert the decimal part into the fraction :
2.345 = 2 + 0.345 = 2 + 69/200 .
if it is .1 you would place the 1 in the numerator and a 10 in the denominator so the fraction would be 1/10
if it is .01 you would place the 1 in the numerator and a 100 in the denominator so the fraction would be 1/100
the number behind the decimal is always the numerator and the # of spaces you can move the decimal to the right tells you how many 0's to use in the denominator
.1= 10
.01= 100
.001= 1000
and so on.
put the number over 1. So if you have .25 you will put .25/1. Next you will need to move the decimal point to the right enough spaces to make the decimal a whole number. so it would be .25/1.00 -> 25/100...then you simplify so the greatest common denominator is 25 for both 25 and 100 so you end up with (25/25)/(100/25) which = 1/4