# What is 0.707 as a fraction?

And how do you convert decimals into fractions?

(0.707*1000)/1000
=707/1000

I believe 707/1000 is the most reduced form to change to a fraction. You would basically just see that you have three decimal points to the right of 707, so if you take that number as if it were a whole number and divide by 1000 (which has 3 zeros), you would get 0.707.

707/1000
Remember, If there is 1 digit past the decimal (Ex. 0.2) Then the denominator of the fraction is 10. If there is 2 digits past, the denominator is 100. And so on. So if it was 0.12 then since there’s 2 digits past the decimal, its: 12/100.
Any number before the decimal is a whole number. So you would change it into a mixed number. (Ex. 2.12 = 2 12/100)
Remembering this makes it easier to turn a decimal into a fraction. I hope it helped!

0.707 = 1 / a
a = 1 / 0.707
a = 1000 / 707
0.707 = 1 / (1000 / 707 )
0.707 = 1 x (707 / 1000)
hence,
0.707 = 707 / 1000

707/1000.
If 707 is prime, that’s the best you can do (I think it may be)
Shift the decimal point to the right until you have an integer.
0.707/1.000 = 7.07/10.0 = 70.7/100.0 = 707/1000
If there are common factors, divide by them
0.5 = 0.5/1.0 = 5.0/10.0 = 1.0/2.0 = 1/2

707/1000

707/1000
Not sure how to explain it but here are some examples…
.1 = 1/10
.01= 1/100
.001= 1/1000

70.7% either multiply the decimal by 100 or move the decimal point over two places.