Question

How do you convert a decimal into a fraction where the decimal has an integer before the decimal? Example: 8.546. Would you simply do 8546/1000?

(My profile might say Highschool level but I clicked by accident and I don't know how to change it.)

Answer 1

Yes, 8.546 = 8546/1000.

Remember that a rational number is the ratio between two integers. So any integer, like 8, is also a rational number because it's the ratio between the two integers 8 and 1:

8 = 8/1

So we have

8.546 = 8 + 0.546

= 8/1 + 546/1000

= 8000/1000 + 546/1000

= 8546/1000