How do you convert a decimal to a fraction?

Answer 1

Multiply numerator and denominator by the same power of 10.
If you have two digits after the decimal, multiply by 10^2;
if you have three digits after the decimal, multiply by 10^3, etc.

Then reduce the fraction by common factors.

3.75 = 375/100

Both numerator and denominator are divisible by 25 -->

375/100 = 15/4

Answer 2

0.534 = 534/1000 = 267/500 Explanation: As we move from the decimal point to the right the names of the places are called first place : tenths second place : hundredths third place : thousandths etc. So 0.534 is five hundred thirty four thousandths and then reduce the fraction I hope you get the idea. Just write yourself down some decimals with at least three decimal places and practice the process. To reduce the fraction to the lowest denominator you just have to find out what is the highest number both the numerator and denominator are divisible by.

Answer 3

Link:

Answer 4

The best way is to show an example.

0.5 = 0.5/1.0 = 5/10 = 1/2

0.25 = 0.25/1.00 = 25/100 = 1/4

There is a special method for converting recurring decimals to infinity.

0.33333333333333333333
Let P = 0.333333333333333
Then 10P = 3.33333333333333
Subtract 10P from P = 9P
10P = 3.333333333333333333
P = 0.33333333333333333333
9P = 3.0
P = 3/9
P = 1/3

Answer 5

If it's a fixed decimal, such as .1596, just think of it as the quantity .1596 / 1, and multiply both numerator and denominator by 1 followed by as many zeros as there are decimal places. In this example, multiplying by 10000 gives a fraction of 1596 / 10000. You can further simplify by dividing both numerator and denominator by common factors, such as 4, to get 399 / 2500.

For repeating decimals, it's trickier. Let x = your fraction, say, .2727272727...
100x = 27.2727272727... Now subtract x (also known as .2727272727...) from both sides, and you get 99x = 27. The math for the right side of the equation looks like this:

27.2727272727...
- .2727272727...
=27.0

Now divide both sides of 99x= 27 by 99, you get x=27/99. Simplify by dividing both numerator and denominator by 9, and you wind up with 3/11.

Answer 6

e.g
0.1 = 1/10
0.01 = 1/100
0.001 = 1/1000

for every decimal place, times the number by either;

10 for 1 decimal place
100 for 2 decimal places
1000 for 3 decimal places

do you see where this is going?

10000 for 4 decimal places
etc. etc!

Answer 7

write the number without decimal

for ex 3,14156 ------> 314159

your fraction is

314159 / 100000 = 314159 / (10^5)

10 ^5, because you multiplied 3,14159 by 10^5

that is:

you put in numerator the decimal without point and in denominator the number 10, raised to the nth power, where n is the number of decimal after point


if the number is periodic, there is another procedure.

Answer 8

its easy if your decimal is 7.5 it would go to 7&5/10 or 7 & 1/2 I got the ten cause after the decimal outwards it goes tenths hudredths thousandths and so on and the five is just the number there and the seven is the whole number.I don't get how you can't get that I mean how old are you?I'm not even that old and ?I can do it in my head VERY easily

Answer 9

Looking at some examples:-
0.6 = 6/10 = 3/5
0.7 = 7/10
0.59 = 59 /100
0.64 = 64 /100 = 16/25
0.356 = 356 /1000 = 89/250

Hope this gives you a starting point.

Answer 10

well if its somthin like .175 just get rid of the decimal place and put 1000 under the line for loner numbers just use more 0