Respuesta :

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Since our decimal moves into the thousandths place, we will set all the numbers after the decimal over 1,000.

The fraction we get is [tex]\boxed{\frac{654}{1000}}[/tex].
Answer: 

0.654 = 327/500


Showing the work

Rewrite the decimal number as a fraction with
1. in the denominator

0.654 = 0.654/1


Multiply to remove 3 decimal places (LEFT). Here you Multiply top and bottom by 10^3 = 1000 So, 

Therefore: Solution to you equation is
0.654/1(1000/1000) = 654/1000





If needed to find the Greatest Common Factor: (GCF), of 654 and 1000, if it exists, and reduce the fraction by dividing both numerator by GCF = 2.

654/2/1000/2 = 327/500


Therefore

X = 327/500


In Conclusion:

0.654 = 327/500